Internal problem ID [13320]
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: 4.6 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-4 y=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)-4*y(x)=2,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {1}{2}+c_{1} {\mathrm e}^{4 x} \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 24
DSolve[y'[x]-4*y[x]==2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{2}+c_1 e^{4 x} \\ y(x)\to -\frac {1}{2} \\ \end{align*}