2.945   ODE No. 945

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

y(x)=48a2x2y(x)+12a2x4+8a3x3+48ax3y(x)+6ax516ax2+96axy(x)2+12x4y(x)+48x2y(x)2+x68x332xy(x)+64y(x)332x32ax+16x2+64y(x)+64 Mathematica : cpu = 1.29226 (sec), leaf count = 213

Solve[x4RootSum[48#12a2y(x)+12#14a2+8#13a3+48#13ay(x)+6#15a+8#12a+12#14y(x)+48#12y(x)2+#16+16#1a2+96#1ay(x)2+32ay(x)+32a+64y(x)3&,#12log(x#1)+2#1alog(x#1)+4y(x)log(x#1)+4log(x#1)12#12a2+12#13a+24#12y(x)+3#14+48#1ay(x)+8a+48y(x)2&]=c1,y(x)] Maple : cpu = 0.229 (sec), leaf count = 41

{y(x)=x24ax2+RootOf(x+_Z2_a+12_a3+_aa+ad_a+_C1)}