2.385   ODE No. 385

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

2x2y(x)+y(x)2+2xy(x)=0 Mathematica : cpu = 0.73493 (sec), leaf count = 6217

{{y(x)x3(122(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+4811264729+64e6c127x642(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+48111864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832e6c19x6+88119)},{y(x)x3(122(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+481+1264729+64e6c127x642(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+48111864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832e6c19x6+88119)},{y(x)x3(122(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+4811264729+64e6c127x642(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+48111864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832e6c19x6+88119)},{y(x)x3(122(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+481+1264729+64e6c127x642(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183+11864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x183e6c19x6+48111864e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832(8e6c1x18+e12c1x12)9x2464e12c1x603e18c1x54+3e24c1x48e30c1x42x36+64e6c1x6+160e12c1x128e18c1x1832e6c19x6+88119)},{y(x)x3(12e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+4811264729+64e6c127x64e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x1832e6c19x6+88119)},{y(x)x3(12e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481+1264729+64e6c127x64e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x1832e6c19x6+88119)},{y(x)x3(12e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+4811264729+64e6c127x64e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x1832e6c19x6+88119)},{y(x)x3(12e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481+1264729+64e6c127x64e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183+198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e6c19x6+481198e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x183e24c1(8e18c1x18+e12c1x12)9x248e36c1e60c1x603e54c1x54+3e48c1x48e42c1x42x36+8e6c1x6+20e12c1x12e18c1x1832e6c19x6+88119)}} Maple : cpu = 0.263 (sec), leaf count = 169

{y(x)=x4RootOf(x1612_Z2x1216_Z3x10+30_Z4x8+96_Z5x6+100_Z6x4+48_Z7x2+9_Z816c1x4)22x,y(x)=x4RootOf(c1x1612c1_Z2x12+16c1_Z3x10+30c1_Z4x896c1_Z5x6+100c1_Z6x448c1_Z7x2+9c1_Z816x4)22x}