Internal problem ID [15359]
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: 590.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }+y=2-2 x} \] With initial conditions \begin {align*} [y \left (0\right ) = 2, y^{\prime }\left (0\right ) = -2] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 9
dsolve([diff(y(x),x$2)+y(x)=2*(1-x),y(0) = 2, D(y)(0) = -2],y(x), singsol=all)
\[ y \left (x \right ) = 2-2 x \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 10
DSolve[{y''[x]+y[x]==2*(1-x),{y[0]==2,y'[0]==-2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2-2 x \]