2.1702   ODE No. 1702

\[ e^{2 x} \left (a y(x)^4+b\right )+e^x y(x) \left (c y(x)^2+d\right )+y(x) y''(x)-y'(x)^2=0 \]

✗ Mathematica : cpu = 1.77041 (sec), leaf count = 0

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]
 

, 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

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))
 

, 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))