ODE No. 1815

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

h(y(x))2(j(x,y(x)h(y(x))))+h(y(x))y(x)h(y(x))y(x)2=0 Mathematica : cpu = 1.19051 (sec), leaf count = 0 , could not solve

DSolve[-(h[y[x]]^2*j[x, Derivative[1][y][x]/h[y[x]]]) - h[y[x]]*Derivative[1][y][x]^2 + h[y[x]]*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0.896 (sec), leaf count = 71

{y(x)=ODESolStruc(RootOf(_b(_a)d_a+_C1_Z(h(_f))1d_f),[{dd_a_b(_a)=1},{_a=x,_b(_a)=ddxy(x)h(y(x))},{x=_a,y(x)=RootOf(_b(_a)d_a+_C1_Z(h(_f))1d_f)}])}