Internal problem ID [14847]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 26.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }-4 y^{\prime }=-3 \sin \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t$2)-4*diff(y(t),t)=-3*sin(t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{1} {\mathrm e}^{4 t}}{4}+\frac {3 \sin \left (t \right )}{17}-\frac {12 \cos \left (t \right )}{17}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.082 (sec). Leaf size: 31
DSolve[y''[t]-4*y'[t]==-3*Sin[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {3 \sin (t)}{17}-\frac {12 \cos (t)}{17}+\frac {1}{4} c_1 e^{4 t}+c_2 \]