36.2.5 problem 5

Internal problem ID [6298]
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
Date solved : Monday, January 27, 2025 at 01:55:22 PM
CAS classification : [[_Abel, `2nd type`, `class A`]]

\begin{align*} x x^{\prime }+x t^{2}&=\sin \left (t \right ) \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[x[t]*D[x[t],t]+t^2*x[t]==Sin[t],x[t],t,IncludeSingularSolutions -> True]
 

Not solved