35.3.4 problem 4

Internal problem ID [6108]
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
Date solved : Monday, January 27, 2025 at 01:36:22 PM
CAS classification : [_linear]

\begin{align*} 2 x y^{\prime }+y&=2 x^{{5}/{2}} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 16

dsolve(2*x*diff(y(x),x)+y(x)=2*x^(5/2),y(x), singsol=all)
 

\[ y = \frac {x^{3}+3 c_1}{3 \sqrt {x}} \]

✓ Solution by Mathematica

Time used: 0.038 (sec). Leaf size: 22

DSolve[2*x*D[y[x],x]+y[x]==2*x^(5/2),y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^3+3 c_1}{3 \sqrt {x}} \]