7.3.4 problem 4

Internal problem ID [44]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.4 (separable equations). Problems at page 43
Problem number : 4
Date solved : Friday, February 07, 2025 at 08:12:52 AM
CAS classification : [_separable]

\begin{align*} \left (x +1\right ) y^{\prime }&=4 y \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

dsolve((1+x)*diff(y(x),x)=4*y(x),y(x), singsol=all)
 

\[ y = \left (x +1\right )^{4} c_1 \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 18

DSolve[(1+x)*D[y[x],x]==4*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 (x+1)^4 \\ y(x)\to 0 \\ \end{align*}