Internal problem ID [15182]
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 13. Basic concepts and definitions. Exercises
page 98
Problem number: 324.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-3 y^{\prime }+2 y=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-3*diff(y(x),x)+2*y(x)=2,y(x), singsol=all)
\[ y = {\mathrm e}^{2 x} c_{1} +c_{2} {\mathrm e}^{x}+1 \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 21
DSolve[y''[x]-3*y'[x]+2*y[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^x+c_2 e^{2 x}+1 \]