ODE
\[ y(x) y''(x)=y'(x)^2 \] ODE Classification
[[_2nd_order, _missing_x], _Liouville, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.214972 (sec), leaf count = 14
\[\left \{\left \{y(x)\to c_2 e^{c_1 x}\right \}\right \}\]
Maple ✓
cpu = 0.646 (sec), leaf count = 10
\[[y \left (x \right ) = {\mathrm e}^{\textit {\_C1} x} \textit {\_C2}]\] Mathematica raw input
DSolve[y[x]*y''[x] == y'[x]^2,y[x],x]
Mathematica raw output
{{y[x] -> E^(x*C[1])*C[2]}}
Maple raw input
dsolve(y(x)*diff(diff(y(x),x),x) = diff(y(x),x)^2, y(x))
Maple raw output
[y(x) = exp(_C1*x)*_C2]