Internal problem ID [4076]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 29
Problem number: 837.
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: 0.063 (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: 0.004 (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*}