Internal problem ID [4299]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 6. SECOND-ORDER LINEAR
EQUATIONSWITH CONSTANT COEFFICIENTS AND RIGHT-HAND SIDE NOT ZERO. page
422
Problem number: 1.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-4 y^{\prime }-10=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)-4*diff(y(x),x)=10,y(x), singsol=all)
\[ y \relax (x ) = \frac {{\mathrm e}^{4 x} c_{1}}{4}-\frac {5 x}{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 24
DSolve[y''[x]-4*y'[x]==10,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {5 x}{2}+\frac {1}{4} c_1 e^{4 x}+c_2 \\ \end{align*}