Internal problem ID [4446]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.3, Linear equations. Exercises. page
54
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, 2nd type, class A]]
Solve \begin {gather*} \boxed {x^{\prime } x+x t^{2}-\sin \relax (t )=0} \end {gather*}
✗ Solution by Maple
dsolve(x(t)*diff(x(t),t)+t^2*x(t)=sin(t),x(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x[t]*x'[t]+t^2*x[t]==Sin[t],x[t],t,IncludeSingularSolutions -> True]
Not solved