2.16 problem 21

Internal problem ID [14121]

Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Review exercises, page 23
Problem number: 21.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]

\[ \boxed {y^{\prime \prime }+4 y=t} \] With initial conditions \begin {align*} \left [y \left (0\right ) = 1, y^{\prime }\left (\frac {\pi }{4}\right ) = \frac {\pi }{16}\right ] \end {align*}

✗ Solution by Maple

dsolve([diff(y(t),t$2)+4*y(t)=t,y(0) = 1, D(y)(1/4*Pi) = 1/16*Pi],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[{y''[t]+4*y[t]==t,{y[0]==1,y'[Pi/4]==Pi/16}},y[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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