Internal problem ID [15382]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 15.3 Nonhomogeneous linear equations with
constant coefficients. Initial value problem. Exercises page 140
Problem number: 613.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }+4 y^{\prime }+3 y=8 \,{\mathrm e}^{x}+9} \] With initial conditions \begin {align*} [y \left (-\infty \right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 14
dsolve([diff(y(x),x$2)+4*diff(y(x),x)+3*y(x)=8*exp(x)+9,y(-infinity) = 3],y(x), singsol=all)
\[ y \left (x \right ) = -\operatorname {signum}\left (c_{1} {\mathrm e}^{-x}\right ) \infty \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y''[x]+4*y'[x]+3*y[x]==8*Exp[x]+9,{y[-Infinity]==3}},y[x],x,IncludeSingularSolutions -> True]
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