Internal problem ID [3996]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 2. Special types of differential equations of the first kind. Lesson 11, Bernoulli
Equations
Problem number: Exercise 11.11, page 97.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }+2 y-3 \,{\mathrm e}^{-2 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 14
dsolve(diff(y(x),x)+2*y(x)=3*exp(-2*x),y(x), singsol=all)
\[ y \relax (x ) = \left (3 x +c_{1}\right ) {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.054 (sec). Leaf size: 17
DSolve[y'[x]+2*y[x]==3*Exp[-2*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{-2 x} (3 x+c_1) \\ \end{align*}