8.3.4 problem 4

Internal problem ID [680]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.4. Separable equations. Page 43
Problem number : 4
Date solved : Monday, January 27, 2025 at 02:57:36 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.025 (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*}