Internal problem ID [14495]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 22.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+36 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2, y^{\prime }\left (0\right ) = -6] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve([diff(y(t),t$2)+36*y(t)=0,y(0) = 2, D(y)(0) = -6],y(t), singsol=all)
\[ y \left (t \right ) = -\sin \left (6 t \right )+2 \cos \left (6 t \right ) \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 18
DSolve[{y''[t]+36*y[t]==0,{y[0]==2,y'[0]==-6}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 2 \cos (6 t)-\sin (6 t) \]