Internal problem ID [4927]
Book: ADVANCED ENGINEERING MATHEMATICS. ERWIN KREYSZIG, HERBERT KREYSZIG,
EDWARD J. NORMINTON. 10th edition. John Wiley USA. 2011
Section: Chapter 6. Laplace Transforms. Problem set 6.2, page 216
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }+2 y=0} \end {gather*} With initial conditions \begin {align*} \left [y \relax (0) = {\frac {3}{2}}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.004 (sec). Leaf size: 10
dsolve([diff(y(t),t)+2*y(t)=0,y(0) = 3/2],y(t), singsol=all)
\[ y \relax (t ) = \frac {3 \,{\mathrm e}^{-2 t}}{2} \]
✓ Solution by Mathematica
Time used: 0.061 (sec). Leaf size: 31
DSolve[{y'[t]+52/10*y[t]==194/10*Sin[2*t],{y[0]==15/10}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to \frac {1}{4} \left (11 e^{-26 t/5}+13 \sin (2 t)-5 \cos (2 t)\right ) \\ \end{align*}