7.7.20 problem 20

Internal problem ID [198]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Review problems at page 98
Problem number : 20
Date solved : Friday, February 07, 2025 at 08:07:05 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+3 y&=\frac {3}{x^{{3}/{2}}} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(x*diff(y(x),x)+3*y(x)=3*x^(-3/2),y(x), singsol=all)
 

\[ y = \frac {2 x^{{3}/{2}}+c_1}{x^{3}} \]

✓ Solution by Mathematica

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

DSolve[x*D[y[x],x]+3*y[x]==3*x^(-3/2),y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {2 x^{3/2}+c_1}{x^3} \]