Internal problem ID [15046]
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: 153.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 y^{\prime } x +y=\left (x^{2}+1\right ) {\mathrm e}^{x}} \] With initial conditions \begin {align*} [y \left (-\infty \right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.188 (sec). Leaf size: 11
dsolve([2*x*diff(y(x),x)+y(x)=(x^2+1)*exp(x),y(-infinity) = 1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {\infty i}{\sqrt {\operatorname {signum}\left (x \right )}} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{2*x*y'[x]+y[x]==(x^2+1)*Exp[x],{y[-Infinity]==1}},y[x],x,IncludeSingularSolutions -> True]
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