ODE
\[ 2 y(x) y''(x)=f(x) y(x)^2+3 y'(x)^2 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✗
cpu = 9.13255 (sec), leaf count = 0 , could not solve
DSolve[2*y[x]*Derivative[2][y][x] == f[x]*y[x]^2 + 3*Derivative[1][y][x]^2, y[x], x]
Maple ✗
cpu = 0.624 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[2*y[x]*y''[x] == f[x]*y[x]^2 + 3*y'[x]^2,y[x],x]
Mathematica raw output
DSolve[2*y[x]*Derivative[2][y][x] == f[x]*y[x]^2 + 3*Derivative[1][y][x]^2, y[x], x]
Maple raw input
dsolve(2*y(x)*diff(diff(y(x),x),x) = 3*diff(y(x),x)^2+f(x)*y(x)^2, y(x))
Maple raw output
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