Internal problem ID [13245]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.2 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+4 y={\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 18
dsolve(diff(y(x),x)+4*y(x)=exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left ({\mathrm e}^{6 x}+6 c_{1} \right ) {\mathrm e}^{-4 x}}{6} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 23
DSolve[y'[x]+4*y[x]==Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{2 x}}{6}+c_1 e^{-4 x} \]