32.2.7 problem Differential equations with Linear Coefficients. Exercise 8.7, page 69

Internal problem ID [5791]
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
Date solved : Monday, January 27, 2025 at 01:18:08 PM
CAS classification : [_separable]

\begin{align*} 7 y-3+\left (1+2 x \right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 15

dsolve((7*y(x)-3)+(2*x+1)*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {3}{7}+\frac {c_{1}}{\left (2 x +1\right )^{{7}/{2}}} \]

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 28

DSolve[(7*y[x]-3)+(2*x+1)*D[y[x],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*}