Internal problem ID [11251]
Book: An elementary treatise on differential equations by Abraham Cohen. DC heath publishers.
1906
Section: Chapter V, Singular solutions. Article 33. Page 73
Problem number: Ex 3.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {4 {y^{\prime }}^{2}=9 x} \]
✓ Solution by Maple
Time used: 0.219 (sec). Leaf size: 19
dsolve(4*diff(y(x),x)^2=9*x,y(x), singsol=all)
\begin{align*} y \left (x \right ) = -x^{\frac {3}{2}}+c_{1} y \left (x \right ) = x^{\frac {3}{2}}+c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 27
DSolve[4*y'[x]^2==9*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -x^{3/2}+c_1 y(x)\to x^{3/2}+c_1 \end{align*}