Internal problem ID [3939]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 2. Special types of differential equations of the first kind. Lesson 8
Problem number: Differential equations with Linear Coefficients. Exercise 8.7, page
69.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {7 y-3+\left (1+2 x \right ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve((7*y(x)-3)+(2*x+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {3}{7}+\frac {c_{1}}{\left (2 x +1\right )^{\frac {7}{2}}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 28
DSolve[(7*y[x]-3)+(2*x+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {3}{7}+\frac {c_1}{(2 x+1)^{7/2}} \\ y(x)\to \frac {3}{7} \\ \end{align*}