75.13.7 problem 324

Internal problem ID [16912]
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 ODEs). Section 13. Basic concepts and definitions. Exercises page 98
Problem number : 324
Date solved : Tuesday, January 28, 2025 at 09:40:42 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-3 y^{\prime }+2 y&=2 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 16

dsolve(diff(y(x),x$2)-3*diff(y(x),x)+2*y(x)=2,y(x), singsol=all)
 

\[ y = {\mathrm e}^{2 x} c_{1} +{\mathrm e}^{x} c_{2} +1 \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 21

DSolve[D[y[x],{x,2}]-3*D[y[x],x]+2*y[x]==2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^x+c_2 e^{2 x}+1 \]