Internal problem ID [4256]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 3. Linear First-Order Equations. page
403
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 x y^{\prime }+y-2 x^{\frac {5}{2}}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 15
dsolve(2*x*diff(y(x),x)+y(x)=2*x^(5/2),y(x), singsol=all)
\[ y \relax (x ) = \frac {\frac {x^{3}}{3}+c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 22
DSolve[2*x*y'[x]+y[x]==2*x^(5/2),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^3+3 c_1}{3 \sqrt {x}} \\ \end{align*}