7.4.8 problem 8

Internal problem ID [80]
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 1.5 (linear equations). Problems at page 54
Problem number : 8
Date solved : Friday, February 07, 2025 at 07:48:38 AM
CAS classification : [_linear]

\begin{align*} 3 x y^{\prime }+y&=12 x \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

dsolve(3*x*diff(y(x),x)+y(x)=12*x,y(x), singsol=all)
 

\[ y = 3 x +\frac {c_1}{x^{{1}/{3}}} \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 17

DSolve[3*x*D[y[x],x]+y[x]==12*x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 x+\frac {c_1}{\sqrt [3]{x}} \]