Internal problem ID [15384]
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: 615.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {y^{\prime \prime }+4 y^{\prime }+4 y=2 \,{\mathrm e}^{x} \left (\sin \left (x \right )+7 \cos \left (x \right )\right )} \] With initial conditions \begin {align*} [y \left (-\infty \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 13
dsolve([diff(y(x),x$2)+4*diff(y(x),x)+4*y(x)=2*exp(x)*(sin(x)+7*cos(x)),y(-infinity) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \operatorname {signum}\left ({\mathrm e}^{-2 x} c_{1} \right ) \infty \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y''[x]+4*y'[x]+4*y[x]==2*Exp[x]*(Sin[x]+7*Cos[x]),{y[-Infinity]==0}},y[x],x,IncludeSingularSolutions -> True]
Not solved