ODE
\[ 2 (1-y(x)) y(x) y''(x)=4 y(x) y'(x) (f(x)+g(x) y(x))+(1-3 y(x)) y'(x)^2 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 0.492019 (sec), leaf count = 0 , could not solve
DSolve[2*(1 - y[x])*y[x]*Derivative[2][y][x] == 4*y[x]*(f[x] + g[x]*y[x])*Derivative[1][y][x] + (1 - 3*y[x])*Derivative[1][y][x]^2, y[x], x]
Maple ✗
cpu = 0.623 (sec), leaf count = 0 , could not solve
dsolve(2*y(x)*(1-y(x))*diff(diff(y(x),x),x) = (1-3*y(x))*diff(y(x),x)^2+4*y(x)*(f(x)+g(x)*y(x))*diff(y(x),x), y(x),'implicit')
Mathematica raw input
DSolve[2*(1 - y[x])*y[x]*y''[x] == 4*y[x]*(f[x] + g[x]*y[x])*y'[x] + (1 - 3*y[x])*y'[x]^2,y[x],x]
Mathematica raw output
DSolve[2*(1 - y[x])*y[x]*Derivative[2][y][x] == 4*y[x]*(f[x] + g[x]*y[x])*Derivative[1][y][x] + (1 - 3*y[x])*Derivative[1][y][x]^2, y[x], x]
Maple raw input
dsolve(2*y(x)*(1-y(x))*diff(diff(y(x),x),x) = (1-3*y(x))*diff(y(x),x)^2+4*y(x)*(f(x)+g(x)*y(x))*diff(y(x),x), y(x),'implicit')
Maple raw output
dsolve(2*y(x)*(1-y(x))*diff(diff(y(x),x),x) = (1-3*y(x))*diff(y(x),x)^2+4*y(x)*(f(x)+g(x)*y(x))*diff(y(x),x), y(x),'implicit')