ODE
\[ y'(x) f(x,y(x))+g(x,y(x))+y''(x)=0 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 0.584661 (sec), leaf count = 0 , could not solve
DSolve[g[x, y[x]] + f[x, y[x]]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 0.004 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)+f(x,y(x))*diff(y(x),x)+g(x,y(x)) = 0, y(x),'implicit')
Mathematica raw input
DSolve[g[x, y[x]] + f[x, y[x]]*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[g[x, y[x]] + f[x, y[x]]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+f(x,y(x))*diff(y(x),x)+g(x,y(x)) = 0, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x)+f(x,y(x))*diff(y(x),x)+g(x,y(x)) = 0, y(x),'implicit')