3.13 problem 2(c)

Internal problem ID [6169]

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).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

\[ \boxed {x \ln \left (x \right ) y^{\prime }+y=3 x^{3}} \] 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: 0.0 (sec). Leaf size: 0

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

Not solved