Internal problem ID [13047]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.3 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-3 y=6} \] With initial conditions \begin {align*} [y \left (0\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve([diff(y(x),x)-3*y(x)=6,y(0) = 5],y(x), singsol=all)
\[ y = 7 \,{\mathrm e}^{3 x}-2 \]
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 14
DSolve[{y'[x]-3*y[x]==6,{y[0]==5}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 7 e^{3 x}-2 \]