2.507   ODE No. 507

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

\[ \left (y(x)^4-a^2 x^2\right ) y'(x)^2+2 a^2 x y(x) y'(x)+y(x)^2 \left (y(x)^2-a^2\right )=0 \] Mathematica : cpu = 43.9448 (sec), leaf count = 0 , could not solve

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

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

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