44.6.24 problem 24

Internal problem ID [7168]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.3 Linear equations. Exercises 2.3 at page 63
Problem number : 24
Date solved : Tuesday, February 04, 2025 at 12:43:32 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 18

dsolve((x^2-1)*diff(y(x),x)+2*y(x)=(x+1)^2,y(x), singsol=all)
 

\[ y = \frac {\left (x +1\right ) \left (x -c_1 \right )}{x -1} \]

✓ Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 20

DSolve[(x^2-1)*D[y[x],x]+2*y[x]==(x+1)^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {(x+1) (x-c_1)}{x-1} \]