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2.488   ODE No. 488

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

4a2−4ay(x)y′(x)−4ax+y(x)2y′(x)2+y(x)2=0 ✓ Mathematica : cpu = 0.35641 (sec), leaf count = 85

{{y(x)→−16a3x−4a2x2−4ac1x−c122a},{y(x)→16a3x−4a2x2−4ac1x−c122a}}

✓ Maple : cpu = 0.438 (sec), leaf count = 113

{y(x)=−2ax,y(x)=2ax,y(x)=−14a−16a4+32a3x−16a2x2+8_C1a2+8_C1ax−_C12,y(x)=14a−16a4+32a3x−16a2x2+8_C1a2+8_C1ax−_C12}

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