Internal problem ID [14539]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.3, page 156
Problem number: 33.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }-2 y^{\prime }=52 \sin \left (3 t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(diff(y(t),t$2)-2*diff(y(t),t)=52*sin(3*t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{1} {\mathrm e}^{2 t}}{2}-4 \sin \left (3 t \right )+\frac {8 \cos \left (3 t \right )}{3}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.171 (sec). Leaf size: 33
DSolve[y''[t]-2*y'[t]==52*Sin[3*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -4 \sin (3 t)+\frac {8}{3} \cos (3 t)+\frac {1}{2} c_1 e^{2 t}+c_2 \]