29.29.15 problem 837

Internal problem ID [5420]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 29
Problem number : 837
Date solved : Monday, January 27, 2025 at 11:21:43 AM
CAS classification : [_quadrature]

\begin{align*} 4 {y^{\prime }}^{2}&=9 x \end{align*}

✓ Solution by Maple

Time used: 0.036 (sec). Leaf size: 19

dsolve(4*diff(y(x),x)^2 = 9*x,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= -x^{{3}/{2}}+c_{1} \\ y \left (x \right ) &= x^{{3}/{2}}+c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 27

DSolve[4 (D[y[x],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*}