Internal problem ID [5368]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 14. Linear equations with constant coefficients. Supplemetary problems. Page
92
Problem number: 11.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-4 y^{\prime }+3 y=1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-4*diff(y(x),x)+3*y(x)=1,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{x} c_{2} +{\mathrm e}^{3 x} c_{1} +\frac {1}{3} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 23
DSolve[y''[x]-4*y'[x]+3*y[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^x+c_2 e^{3 x}+\frac {1}{3} \]