Internal problem ID [5158]
Book: Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY.
2001
Section: Program 25. Second order differential equations. Further problems 25. page
1094
Problem number: 16.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }+6 y^{\prime }+10 y=50 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(diff(y(x),x$2)+6*diff(y(x),x)+10*y(x)=50*x,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{-3 x} \sin \left (x \right ) c_{2} +{\mathrm e}^{-3 x} \cos \left (x \right ) c_{1} +5 x -3 \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 30
DSolve[y''[x]+6*y'[x]+10*y[x]==50*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 5 x+c_2 e^{-3 x} \cos (x)+c_1 e^{-3 x} \sin (x)-3 \]