ODE
\[ x^2 y'(x)^2=y(x)^2 \] ODE Classification
[_separable]
Book solution method
No Missing Variables ODE, Solve for \(y'\)
Mathematica ✓
cpu = 0.179107 (sec), leaf count = 19
\[\left \{\left \{y(x)\to \frac {c_1}{x}\right \},\{y(x)\to c_1 x\}\right \}\]
Maple ✓
cpu = 0.047 (sec), leaf count = 15
\[\left [y \left (x \right ) = x \textit {\_C1}, y \left (x \right ) = \frac {\textit {\_C1}}{x}\right ]\] Mathematica raw input
DSolve[x^2*y'[x]^2 == y[x]^2,y[x],x]
Mathematica raw output
{{y[x] -> C[1]/x}, {y[x] -> x*C[1]}}
Maple raw input
dsolve(x^2*diff(y(x),x)^2 = y(x)^2, y(x))
Maple raw output
[y(x) = x*_C1, y(x) = 1/x*_C1]