Internal problem ID [5195]
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 12.12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }-60 y^{\prime }-900 y=5 \,{\mathrm e}^{10 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 33
dsolve(diff(y(x),x$2)-60*diff(y(x),x)-900*y(x)=5*exp(10*x),y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{30 \left (1+\sqrt {2}\right ) x} c_{2} +{\mathrm e}^{-30 \left (\sqrt {2}-1\right ) x} c_{1} -\frac {{\mathrm e}^{10 x}}{280} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 45
DSolve[y''[x]-60*y'[x]-900*y[x]==5*Exp[10*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {e^{10 x}}{280}+c_1 e^{-30 \left (\sqrt {2}-1\right ) x}+c_2 e^{30 \left (1+\sqrt {2}\right ) x} \]