Internal problem ID [4688]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 12. VARIATION OF PARAMETERS. Supplementary Problems. page
109
Problem number: Problem 12.13.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-7 y^{\prime }+3=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-7*diff(y(x),x)=-3,y(x), singsol=all)
\[ y \relax (x ) = \frac {{\mathrm e}^{7 x} c_{1}}{7}+\frac {3 x}{7}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.02 (sec). Leaf size: 24
DSolve[y''[x]-7*y'[x]==-3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {3 x}{7}+\frac {1}{7} c_1 e^{7 x}+c_2 \\ \end{align*}