3.430   ODE No. 430

(a2x+c2)(ddxy(x))2+(a1x+b1y(x)+c1)ddxy(x)+a0x+b0y(x)+c0=0

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 0 (sec), leaf count = 0 Hanged

Maple: cpu = 1.201 (sec), leaf count = 9885 {_C1a2x+c2(12(a2x+c2)2(2a0a2b1x2+2a0b1c2x+2a2b1c0x+a1c1c2+b0c1c2+2a22c0x+2a2c0c2+2b1c0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12y(x)4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2c14a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1c1a2b12(y(x))22b12c1y(x)2a2b1c1y(x)2a1b12xy(x)+a1b1c2y(x)+3b0b1c2y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1b1x4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b0x+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b1y(x)b13(y(x))2+2a22b0xy(x)+2a2b0c2y(x)a12b1x2+a12c2xa1a2b1xy(x)+3a2b0b1xy(x)a1a2c1x2a1b1c1x+a1a2b0x2+a1b0c2x+a2b0c1x2a0a2c2xa2c12b1c122a0c22))2a2+b12a2+2b1(a1b1x+2a2b0xb12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+2b0c2b1c1)e2a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+b1a1a2+b1arctan(1a2x+c2(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b02+2a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+b1b0a2+b1arctan(1a2x+c2(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a14a0a2+4a0b1a122a1b0b02arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+x12a2x+2c2(12(a2x+c2)2(2a0a2b1x2+2a0b1c2x+2a2b1c0x+a1c1c2+b0c1c2+2a22c0x+2a2c0c2+2b1c0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12y(x)4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2c14a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1c1a2b12(y(x))22b12c1y(x)2a2b1c1y(x)2a1b12xy(x)+a1b1c2y(x)+3b0b1c2y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1b1x4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b0x+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b1y(x)b13(y(x))2+2a22b0xy(x)+2a2b0c2y(x)a12b1x2+a12c2xa1a2b1xy(x)+3a2b0b1xy(x)a1a2c1x2a1b1c1x+a1a2b0x2+a1b0c2x+a2b0c1x2a0a2c2xa2c12b1c122a0c22))2a2+b12a2+2b1(a1b1x+2a2b0xb12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+2b0c2b1c1)12a2x+2c2(a1xb1y(x)c1+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12)_a2b1c2+2_ab0c2+b0c1b1c0(_ab1+b0)2(_a2a2+_a2b1+_aa1+_ab0+a0)b12a2+2b1e2a14a0a2+4a0b1a122a1b0b02arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)b1b0a2+b1arctan((2_aa2+2_ab1+a1+b0)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)b1a1a2+b1arctan((2_aa2+2_ab1+a1+b0)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)d_ae2a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+b1a1a2+b1arctan(1a2x+c2(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b02+2a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+b1b0a2+b1arctan(1a2x+c2(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a14a0a2+4a0b1a122a1b0b02arctan(a1b1x+a2b0xa2b1y(x)b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1+a1c2a2c1+b0c2b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)=0,_C1a2x+c2(a1b1x2a2b0x+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12b0c2+b1c1)(12(a2x+c2)2(2a0a2b1x22a0b1c2x2a2b1c0xa1c1c2b0c1c22a22c0x2a2c0c22b1c0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12y(x)4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2c14a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1c1+a2b12(y(x))2+2b12c1y(x)+2a2b1c1y(x)+2a1b12xy(x)a1b1c2y(x)3b0b1c2y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1b1x4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b0x+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b1y(x)+b13(y(x))22a22b0xy(x)2a2b0c2y(x)+a12b1x2a12c2x+a1a2b1xy(x)3a2b0b1xy(x)+a1a2c1x+2a1b1c1xa1a2b0x2a1b0c2xa2b0c1x+2a0a2c2x+a2c12+b1c12+2a0c22))2a2+b12a2+2b1e2a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)b1a1a2+b1arctan(1a2x+c2(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)b1b0a2+b1arctan(1a2x+c2(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b02+2a14a0a2+4a0b1a122a1b0b02arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)+x+12a2x+2c2(a1b1x2a2b0x+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12b0c2+b1c1)12a2x+2c2(a1x+b1y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12+c1)_a2b1c2+2_ab0c2+b0c1b1c0(_ab1+b0)2(_a2a2+_a2b1+_aa1+_ab0+a0)b12a2+2b1e2a14a0a2+4a0b1a122a1b0b02arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)b1b0a2+b1arctan((2_aa2+2_ab1+a1+b0)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)b1a1a2+b1arctan((2_aa2+2_ab1+a1+b0)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(2_aa2+2_ab1+a1+b04a0a2+4a0b1a122a1b0b02)d_a(12(a2x+c2)2(2a0a2b1x22a0b1c2x2a2b1c0xa1c1c2b0c1c22a22c0x2a2c0c22b1c0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b12y(x)4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2c14a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b0c2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1c1+a2b12(y(x))2+2b12c1y(x)+2a2b1c1y(x)+2a1b12xy(x)a1b1c2y(x)3b0b1c2y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a1b1x4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b0x+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2b1y(x)+b13(y(x))22a22b0xy(x)2a2b0c2y(x)+a12b1x2a12c2x+a1a2b1xy(x)3a2b0b1xy(x)+a1a2c1x+2a1b1c1xa1a2b0x2a1b0c2xa2b0c1x+2a0a2c2x+a2c12+b1c12+2a0c22))2a2+b12a2+2b1e2a1a24a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)b1a1a2+b1arctan(1a2x+c2(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b022a2b04a0a2+4a0b1a122a1b0b02(a2+b1)arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)b1b0a2+b1arctan(1a2x+c2(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1)14a0a2+4a0b1a122a1b0b02)14a0a2+4a0b1a122a1b0b02+2a14a0a2+4a0b1a122a1b0b02arctan(a1b1xa2b0x+a2b1y(x)+b12y(x)+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12a2+4a0a2x2+a12x2+2a1b1xy(x)4a2b0xy(x)+b12(y(x))24a0c2x+2a1c1x4a2c0x4b0c2y(x)+2b1c1y(x)4c0c2+c12b1a1c2+a2c1b0c2+b1c1(a2x+c2)4a0a2+4a0b1a122a1b0b02)=0}