Internal problem ID [4251]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 2. Separable equations. page
398
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {2 y^{\prime }-3 \left (y-2\right )^{\frac {1}{3}}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 9
dsolve([2*diff(y(x),x)=3*(y(x)-2)^(1/3),y(1) = 3],y(x), singsol=all)
\[ y \relax (x ) = 2+x^{\frac {3}{2}} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 12
DSolve[{2*y'[x]==3*(y[x]-2)^(1/3),{y[1]==3}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^{3/2}+2 \\ \end{align*}