7.4.4 problem 4

Internal problem ID [76]
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 : 4
Date solved : Friday, February 07, 2025 at 07:48:24 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }-2 x y&={\mathrm e}^{x^{2}} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x)-2*x*y(x)=exp(x^2),y(x), singsol=all)
 

\[ y = {\mathrm e}^{x^{2}} \left (x +c_1 \right ) \]

✓ Solution by Mathematica

Time used: 0.045 (sec). Leaf size: 15

DSolve[D[y[x],x]-2*x*y[x]==Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{x^2} (x+c_1) \]