Internal problem ID [13529]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 27. Differentiation and the Laplace transform. Additional Exercises. page
496
Problem number: 27.1 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+4 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.079 (sec). Leaf size: 10
dsolve([diff(y(t),t)+4*y(t)=0,y(0) = 3],y(t), singsol=all)
\[ y \left (t \right ) = 3 \,{\mathrm e}^{-4 t} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 12
DSolve[{y'[t]+4*y[t]==0,{y[0]==3}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 3 e^{-4 t} \]