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

2.1722   ODE No. 1722

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

−2ay(x)(y′(x)2+1)3/2−y′(x)2+y(x)y″(x)−1=0 ✓ Mathematica : cpu = 1.36425 (sec), leaf count = 697

{{y(x)→InverseFunction[−1−2#12a2−2ac1+1−4ac1+11+2#12a22ac1+1−4ac1−1((−2ac1+1−4ac1+1)E(isinh−1⁡(2a22ac1+1−4ac1−1#1)|−2ac1+1−4ac1−1−2ac1+1−4ac1+1)−(1+1−4ac1)F(isinh−1⁡(2a22ac1+1−4ac1−1#1)|−2ac1+1−4ac1−1−2ac1+1−4ac1+1))22aa22ac1+1−4ac1−1#14a2+#12(−1+2ac1)+c12&][x+c2]},{y(x)→InverseFunction[1−2#12a2−2ac1+1−4ac1+11+2#12a22ac1+1−4ac1−1((−2ac1+1−4ac1+1)E(isinh−1⁡(2a22ac1+1−4ac1−1#1)|−2ac1+1−4ac1−1−2ac1+1−4ac1+1)−(1+1−4ac1)F(isinh−1⁡(2a22ac1+1−4ac1−1#1)|−2ac1+1−4ac1−1−2ac1+1−4ac1+1))22aa22ac1+1−4ac1−1#14a2+#12(−1+2ac1)+c12&][x+c2]}} ✓ Maple : cpu = 0.666 (sec), leaf count = 98

{∫y(x)(_a2a+_C1)1−_a4a2−2_C1_a2a−_C12+_a2d_a−x−_C2=0,∫y(x)−(_a2a+_C1)1−_a4a2−2_C1_a2a−_C12+_a2d_a−x−_C2=0}

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