Internal problem ID [57]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.5. Linear first order equations. Page 56
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-2 y x +y^{\prime }={\mathrm e}^{x^{2}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(-2*x*y(x)+diff(y(x),x) = exp(x^2),y(x), singsol=all)
\[ y \left (x \right ) = \left (c_{1} +x \right ) {\mathrm e}^{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 15
DSolve[-2*x*y[x]+y'[x] == Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{x^2} (x+c_1) \]