39.4.4 problem Problem 12.12

Internal problem ID [6538]
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
Date solved : Monday, January 27, 2025 at 02:11:52 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }-60 y^{\prime }-900 y&=5 \,{\mathrm e}^{10 x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (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)
 

\[ y = {\mathrm e}^{30 \left (1+\sqrt {2}\right ) x} c_2 +{\mathrm e}^{-30 \left (\sqrt {2}-1\right ) x} c_1 -\frac {{\mathrm e}^{10 x}}{280} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 45

DSolve[D[y[x],{x,2}]-60*D[y[x],x]-900*y[x]==5*Exp[10*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {e^{10 x}}{280}+c_1 e^{-30 \left (\sqrt {2}-1\right ) x}+c_2 e^{30 \left (1+\sqrt {2}\right ) x} \]