8.4.8 problem 8

Internal problem ID [711]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 8
Date solved : Wednesday, February 05, 2025 at 03:51:25 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

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

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

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 17

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

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