ODE
\[ y''(x)=A x^a y(x)^b y'(x)^c \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.237145 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == A*x^a*y[x]^b*Derivative[1][y][x]^c, y[x], x]
Maple ✗
cpu = 2.077 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y''[x] == A*x^a*y[x]^b*y'[x]^c,y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == A*x^a*y[x]^b*Derivative[1][y][x]^c, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = A*x^a*y(x)^b*diff(y(x),x)^c, y(x))
Maple raw output
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