50.3.13 problem 2(c)

Internal problem ID [7837]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
Problem number : 2(c)
Date solved : Monday, January 27, 2025 at 03:24:28 PM
CAS classification : [_linear]

\begin{align*} x \ln \left (x \right ) y^{\prime }+y&=3 x^{3} \end{align*}

With initial conditions

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved