8.4.4 problem 4

Internal problem ID [707]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 1.5. Linear first order equations. Page 56
Problem number : 4
Date solved : Monday, January 27, 2025 at 02:58:39 AM
CAS classification : [_linear]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 15

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

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