50.2.2 problem 1(b)

Internal problem ID [7808]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.3 SEPARABLE EQUATIONS. Page 12
Problem number : 1(b)
Date solved : Monday, January 27, 2025 at 03:23:40 PM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

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

\[ y = c_{1} {\mathrm e}^{2 x^{2}} \]

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 20

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

\begin{align*} y(x)\to c_1 e^{2 x^2} \\ y(x)\to 0 \\ \end{align*}