44.1.27 problem 29

Internal problem ID [6902]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Exercises 1.1 at page 12
Problem number : 29
Date solved : Monday, January 27, 2025 at 02:34:30 PM
CAS classification : [_linear]

\begin{align*} x^{2} y^{\prime }+y x&=10 \sin \left (x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(x^2*diff(y(x),x)+x*y(x)=10*sin(x),y(x), singsol=all)
 

\[ y = \frac {10 \,\operatorname {Si}\left (x \right )+c_{1}}{x} \]

✓ Solution by Mathematica

Time used: 0.037 (sec). Leaf size: 16

DSolve[x^2*D[y[x],x]+x*y[x]==10*Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {10 \text {Si}(x)+c_1}{x} \]