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3.491   ODE No. 491

(y(x))2(ddxy(x))2+2axy(x)ddxy(x)+(1−a)(y(x))2+ax2+(a−1)b=0

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

Mathematica: cpu = 1.033131 (sec), leaf count = 79 {{y(x)→−−2ac1x+ac12+b+2c1x−c12−x2},{y(x)→−2ac1x+ac12+b+2c1x−c12−x2}}

Maple: cpu = 1.107 (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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