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3.490   ODE No. 490

(y(x))2(ddxy(x))2−2xy(x)ddxy(x)+2(y(x))2−x2+a=0

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

Mathematica: cpu = 0.601076 (sec), leaf count = 70 {{y(x)→−−a+8c1x−4c12−2x22},{y(x)→−a+8c1x−4c12−2x22}}

Maple: cpu = 0.920 (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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