2.1702   ODE No. 1702

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

\[ e^{2 x} \left (a y(x)^4+b\right )+e^x y(x) \left (c y(x)^2+d\right )-y'(x)^2+y(x) y''(x)=0 \] Mathematica : cpu = 0.919242 (sec), leaf count = 0 , could not solve

DSolve[E^x*y[x]*(d + c*y[x]^2) + E^(2*x)*(b + a*y[x]^4) - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+exp(x)*y(x)*(c*y(x)^2+d)+exp(2*x)*(b+a*y(x)^4)=0,y(x))