74.1.7 problem 10

Internal problem ID [15787]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 10
Date solved : Tuesday, January 28, 2025 at 08:07:12 AM
CAS classification : [NONE]

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

Solution by Maple

dsolve(diff(x(t),t$2)+2*sin(x(t))=sin(2*t),x(t), singsol=all)
 
\[ \text {No solution found} \]

Solution by Mathematica

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

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

Not solved