ODE
\[ a y'(x)^2+b y'(x)+c y(x)+y''(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✗
cpu = 23.0683 (sec), leaf count = 0 , could not solve
DSolve[c*y[x] + b*Derivative[1][y][x] + a*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 1.254 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[c*y[x] + b*y'[x] + a*y'[x]^2 + y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[c*y[x] + b*Derivative[1][y][x] + a*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+a*diff(y(x),x)^2+b*diff(y(x),x)+c*y(x) = 0, y(x))
Maple raw output
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