Internal problem ID [5369]
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: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-4 y^{\prime }=5} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-4*diff(y(x),x)=5,y(x), singsol=all)
\[ y = \frac {c_{1} {\mathrm e}^{4 x}}{4}-\frac {5 x}{4}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 24
DSolve[y''[x]-4*y'[x]==5,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {5 x}{4}+\frac {1}{4} c_1 e^{4 x}+c_2 \]