3.42 problem 4.8 (a)

Internal problem ID [13340]

Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page 90
Problem number: 4.8 (a).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-2 y=-10} \] With initial conditions \begin {align*} [y \left (0\right ) = 8] \end {align*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

dsolve([diff(y(x),x)-2*y(x)=-10,y(0) = 8],y(x), singsol=all)
 

\[ y \left (x \right ) = 5+3 \,{\mathrm e}^{2 x} \]

Solution by Mathematica

Time used: 0.055 (sec). Leaf size: 14

DSolve[{y'[x]-2*y[x]==-10,{y[0]==8}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 e^{2 x}+5 \]