Internal problem ID [13020]
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: 0.016 (sec). Leaf size: 12
dsolve([diff(y(x),x)-2*y(x)=-10,y(0) = 8],y(x), singsol=all)
\[ y = 3 \,{\mathrm e}^{2 x}+5 \]
✓ 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]
\[ y(x)\to 3 e^{2 x}+5 \]