Internal problem ID [3997]
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 11.12, 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-\frac {3 \,{\mathrm e}^{-2 x}}{4}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)+2*y(x)=3/4*exp(-2*x),y(x), singsol=all)
\[ y \relax (x ) = \left (\frac {3 x}{4}+c_{1}\right ) {\mathrm e}^{-2 x} \]
✓ Solution by Mathematica
Time used: 0.078 (sec). Leaf size: 22
DSolve[y'[x]+2*y[x]==3/4*Exp[-2*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{4} e^{-2 x} (3 x+4 c_1) \\ \end{align*}