Internal problem ID [15029]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 6. Linear equations of the first order. The Bernoulli equation. Exercises page
54
Problem number: 127.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-2 y x=2 x \,{\mathrm e}^{x^{2}}} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve(diff(y(x),x)-2*x*y(x)=2*x*exp(x^2),y(x), singsol=all)
\[ y \left (x \right ) = \left (x^{2}+c_{1} \right ) {\mathrm e}^{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 17
DSolve[y'[x]-2*x*y[x]==2*x*Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{x^2} \left (x^2+c_1\right ) \]