8.4.11 problem 11

Internal problem ID [714]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 11
Date solved : Monday, January 27, 2025 at 02:59:01 AM
CAS classification : [_separable]

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

With initial conditions

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

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 5

dsolve([y(x)+x*diff(y(x),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[{y[x]+x*D[y[x],x] == 3*x*y[x],y[1]==0},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 0 \]