Internal problem ID [14893]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 5. Applications of Higher Order Equations. Exercises 5.1, page 232
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 x^{\prime \prime }+9 x=0} \] With initial conditions \begin {align*} [x \left (0\right ) = -1, x^{\prime }\left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([4*diff(x(t),t$2)+9*x(t)=0,x(0) = -1, D(x)(0) = 0],x(t), singsol=all)
\[ x \left (t \right ) = -\cos \left (\frac {3 t}{2}\right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 13
DSolve[{4*x''[t]+9*x[t]==0,{x[0]==-1,x'[0]==0}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to -\cos \left (\frac {3 t}{2}\right ) \]