2.1737   ODE No. 1737

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

$$-4(a+x^2)y(x{)}^2+b-y^{\prime }(x{)}^2+2y(x)y^{″}(x)-3y(x{)}^4-8xy(x{)}^3=0$$ ✗ Mathematica : cpu = 20.6011 (sec), leaf count = 0 , could not solve

DSolve[b - 4*(a + x^2)*y[x]^2 - 8*x*y[x]^3 - 3*y[x]^4 - Derivative[1][y][x]^2 + 2*y[x]*Derivative[2][y][x] == 0, y[x], x]

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

dsolve(2*diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+b-4*(x^2+a)*y(x)^2-8*x*y(x)^3-3*y(x)^4=0,y(x))