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3.500   ODE No. 500

(a−b)(y(x))2(ddxy(x))2−2bxy(x)ddxy(x)+a(y(x))2−bx2−ab=0

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

Mathematica: cpu = 1.322668 (sec), leaf count = 100 {{y(x)→−−ab−2ac1x+ac12+ax2+b2−bx2b−a},{y(x)→−ab−2ac1x+ac12+ax2+b2−bx2b−a}}

Maple: cpu = 1.232 (sec), leaf count = 260 {y(x)=1b−_C1ab+_C1b2−b2x2−2b_C1ab−ab2x+ab2,y(x)=1b−_C1ab+_C1b2−b2x2+2b_C1ab−ab2x+ab2,y(x)=1a−b(a−b)b(x2+a−b),y(x)=−1b−_C1ab+_C1b2−b2x2−2b_C1ab−ab2x+ab2,y(x)=−1b−_C1ab+_C1b2−b2x2+2b_C1ab−ab2x+ab2,y(x)=−1a−b(a−b)b(x2+a−b)}

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