Internal problem ID [15087]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 8. First order not solved for the derivative. Exercises page 67
Problem number: 199.
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: 0.016 (sec). Leaf size: 19
dsolve(4*diff(y(x),x)^2-9*x=0,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==0,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*}