ODE
\[ y''(x)=a+b x+c y(x)^2 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 0.321689 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == a + b*x + c*y[x]^2, y[x], x]
Maple ✗
cpu = 0.217 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x) = a+b*x+c*y(x)^2, y(x),'implicit')
Mathematica raw input
DSolve[y''[x] == a + b*x + c*y[x]^2,y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == a + b*x + c*y[x]^2, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = a+b*x+c*y(x)^2, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x) = a+b*x+c*y(x)^2, y(x),'implicit')