7.4.7 problem 7

Internal problem ID [79]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 7
Date solved : Friday, February 07, 2025 at 07:48:32 AM
CAS classification : [_linear]

\begin{align*} 2 x y^{\prime }+y&=10 \sqrt {x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(2*x*diff(y(x),x)+y(x)=10*sqrt(x),y(x), singsol=all)
 

\[ y = \frac {5 x +c_1}{\sqrt {x}} \]

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 17

DSolve[2*x*D[y[x],x]+y[x]==10*Sqrt[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {5 x+c_1}{\sqrt {x}} \]