ODE
\[ y''(x)=y(x) f'(x)+(f(x)-2 y(x)) y'(x) \] ODE Classification
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Book solution method
TO DO
Mathematica ✗
cpu = 41.1816 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == y[x]*Derivative[1][f][x] + (f[x] - 2*y[x])*Derivative[1][y][x], y[x], x]
Maple ✗
cpu = 0.516 (sec), leaf count = 0 , result contains DESol or ODESolStruc
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Mathematica raw input
DSolve[y''[x] == y[x]*f'[x] + (f[x] - 2*y[x])*y'[x],y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == y[x]*Derivative[1][f][x] + (f[x] - 2*y[x])*Derivative[1][y][x], y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = (f(x)-2*y(x))*diff(y(x),x)+diff(f(x),x)*y(x), y(x))
Maple raw output
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