Internal problem ID [1934]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(f).
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}-y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve((diff(y(x),x))^2-y(x)^2=0,y(x), singsol=all)
\begin{align*} y \relax (x ) = {\mathrm e}^{x} c_{1} \\ y \relax (x ) = {\mathrm e}^{-x} c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 28
DSolve[(y'[x])^2-y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{-x} \\ y(x)\to c_1 e^x \\ y(x)\to 0 \\ \end{align*}