Internal problem ID [5416]
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]
Solve \begin {gather*} \boxed {x \ln \relax (x ) y^{\prime }+y-3 x^{3}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 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