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2.490   ODE No. 490

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

a−x2−2xy(x)y′(x)+y(x)2y′(x)2+2y(x)2=0 ✓ Mathematica : cpu = 0.423091 (sec), leaf count = 70

{{y(x)→−−a−2x2+8c1x−4c122},{y(x)→−a−2x2+8c1x−4c122}} ✓ Maple : cpu = 0.682 (sec), leaf count = 145

{y(x)=−2a+2_C1x−_C1−x2−a,y(x)=2a+2_C1x−_C1−x2−a,y(x)=−−2a+2_C1x−_C1−x2−a,y(x)=−2a+2_C1x−_C1−x2−a,y(x)=−124x2−2a,y(x)=124x2−2a}

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