ODE
\[ x^2 y'(x)^2=a^2 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Dependent variable missing, Solve for \(y'\)
Mathematica ✓
cpu = 0.153574 (sec), leaf count = 24
\[\{\{y(x)\to -a \log (x)+c_1\},\{y(x)\to a \log (x)+c_1\}\}\]
Maple ✓
cpu = 0.046 (sec), leaf count = 20
\[[y \left (x \right ) = a \ln \left (x \right )+\textit {\_C1}, y \left (x \right ) = -a \ln \left (x \right )+\textit {\_C1}]\] Mathematica raw input
DSolve[x^2*y'[x]^2 == a^2,y[x],x]
Mathematica raw output
{{y[x] -> C[1] - a*Log[x]}, {y[x] -> C[1] + a*Log[x]}}
Maple raw input
dsolve(x^2*diff(y(x),x)^2 = a^2, y(x))
Maple raw output
[y(x) = a*ln(x)+_C1, y(x) = -a*ln(x)+_C1]