44.5.5 problem 5

Internal problem ID [7067]
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 2.2 Separable equations. Exercises 2.2 at page 53
Problem number : 5
Date solved : Monday, January 27, 2025 at 02:46:41 PM
CAS classification : [_separable]

\begin{align*} x y^{\prime }&=4 y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

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

\[ y = c_{1} x^{4} \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 16

DSolve[x*D[y[x],x]==4*y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 x^4 \\ y(x)\to 0 \\ \end{align*}