Internal problem ID [14450]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number: 14.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+9 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1, y^{\prime }\left (0\right ) = -3] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve([diff(y(t),t$2)+9*y(t)=0,y(0) = 1, D(y)(0) = -3],y(t), singsol=all)
\[ y \left (t \right ) = -\sin \left (3 t \right )+\cos \left (3 t \right ) \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 16
DSolve[{y''[t]+9*y[t]==0,{y[0]==1,y'[0]==-3}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \cos (3 t)-\sin (3 t) \]