7.4.11 problem 11

Internal problem ID [83]
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 : 11
Date solved : Friday, February 07, 2025 at 07:48:45 AM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (1\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 5

dsolve([x*diff(y(x),x)+y(x)=3*x*y(x),y(1) = 0],y(x), singsol=all)
 

\[ y = 0 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 6

DSolve[{x*D[y[x],x]+y[x]==3*x*y[x],{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 0 \]