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2.491   ODE No. 491

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

(a−1)b+ax2+2axy(x)y′(x)+(1−a)y(x)2+y(x)2y′(x)2=0 ✓ Mathematica : cpu = 1.01011 (sec), leaf count = 79

{{y(x)→−−2ac1x+ac12+b+2c1x−c12−x2},{y(x)→−2ac1x+ac12+b+2c1x−c12−x2}}

✓ Maple : cpu = 0.724 (sec), leaf count = 251

{y(x)=−ax2+b,y(x)=1a−a2x2−2a_C1a2−a2b−_C1a+abx+_C1a+a2b−ab,y(x)=1a−a2x2+2a_C1a2−a2b−_C1a+abx+_C1a+a2b−ab,y(x)=−−ax2+b,y(x)=−1a−a2x2−2a_C1a2−a2b−_C1a+abx+_C1a+a2b−ab,y(x)=−1a−a2x2+2a_C1a2−a2b−_C1a+abx+_C1a+a2b−ab}

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