[next] [prev] [prev-tail] [tail] [up]

2.925   ODE No. 925

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

y′(x)=x2+2xy(x)+e2(x−y(x))2(y(x)+x)2+y(x)2x2+2xy(x)−e2(x−y(x))2(y(x)+x)2+y(x)2 ✓ Mathematica : cpu = 2.03702 (sec), leaf count = 228

Solve[∫1y(x)(−2K[2]−x2+e2(x−K[2])2(x+K[2])2+K[2]2−∫1x(2K[1](−2K[2]−e2(K[1]−K[2])2(K[1]+K[2])2(4(K[1]−K[2])2(K[1]+K[2])−4(K[1]−K[2])(K[1]+K[2])2))(K[1]2−e2(K[1]−K[2])2(K[1]+K[2])2−K[2]2)2−1(K[1]+K[2])2)dK[1]+1x+K[2])dK[2]+∫1x(1K[1]+y(x)−2K[1]K[1]2−e2(K[1]−y(x))2(K[1]+y(x))2−y(x)2)dK[1]=c1,y(x)] ✓ Maple : cpu = 0.472 (sec), leaf count = 38

{y(x)=eRootOf(−_Z+∫(e_Z)2−2xe_Z(e2_a2+_a)−1d_a+_C1)−x}

[next] [prev] [prev-tail] [front] [up]