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2.500   ODE No. 500

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

(a−b)y(x)2y′(x)2−ab+ay(x)2−bx2−2bxy(x)y′(x)=0 ✓ Mathematica : cpu = 0.977149 (sec), leaf count = 100

{{y(x)→−−ab+ax2−2ac1x+ac12+b2−bx2b−a},{y(x)→−ab+ax2−2ac1x+ac12+b2−bx2b−a}} ✓ Maple : cpu = 1.035 (sec), leaf count = 220

{y(x)=1b(−2x−ab(b−_C1)+(−x2+_C1+a)b−_C1a)b,y(x)=1b(2x−ab(b−_C1)+(−x2+_C1+a)b−_C1a)b,y(x)=1a−b(a−b)b(x2+a−b),y(x)=−1b(−2x−ab(b−_C1)+(−x2+_C1+a)b−_C1a)b,y(x)=−1b(2x−ab(b−_C1)+(−x2+_C1+a)b−_C1a)b,y(x)=−1a−b(a−b)b(x2+a−b)}

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