Internal problem ID [4496]
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 11.2, page 97.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }+y a=b} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)+a*y(x)=b,y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{-a x} c_{1} a +b}{a} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 29
DSolve[y'[x]+a*y[x]==b,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {b}{a}+c_1 e^{-a x} \\ y(x)\to \frac {b}{a} \\ \end{align*}