1.7 problem 10

Internal problem ID [14051]

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.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

\[ \boxed {x^{\prime \prime }+2 \sin \left (x\right )=\sin \left (2 t \right )} \]

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: 0.0 (sec). Leaf size: 0

DSolve[x''[t]+2*Sin[x[t]]==Sin[2*t],x[t],t,IncludeSingularSolutions -> True]
 

Not solved