Internal problem ID [15039]
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: 137.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-y \,{\mathrm e}^{x}=2 x \,{\mathrm e}^{{\mathrm e}^{x}}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)-y(x)*exp(x)=2*x*exp( exp(x) ),y(x), singsol=all)
\[ y \left (x \right ) = \left (x^{2}+c_{1} \right ) {\mathrm e}^{{\mathrm e}^{x}} \]
✓ Solution by Mathematica
Time used: 0.053 (sec). Leaf size: 17
DSolve[y'[x]-y[x]*Exp[x]==2*x*Exp[ Exp[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{e^x} \left (x^2+c_1\right ) \]