Internal problem ID [710]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.7 Forced Vibrations. page 217
Problem number: 24.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {u^{\prime \prime }+u^{\prime }+\frac {u^{3}}{5}-\cos \relax (t )=0} \end {gather*} With initial conditions \begin {align*} [u \relax (0) = 2, u^{\prime }\relax (0) = 0] \end {align*}
✗ Solution by Maple
dsolve([diff(u(t),t$2)+diff(u(t),t)+1/5*u(t)^3 = cos(t),u(0) = 2, D(u)(0) = 0],u(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{u''[t]+u'[t]+1/5*u[t]^3 ==3*Cos[t],{u[0]==0,u'[0]==0}},u[t],t,IncludeSingularSolutions -> True]
Not solved