Internal problem ID [13696]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 22. Method of undetermined coefficients. Additional exercises page
412
Problem number: 22.1 (a).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }+9 y=52 \,{\mathrm e}^{2 x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(x),x$2)+9*y(x)=52*exp(2*x),y(x), singsol=all)
\[ y \left (x \right ) = c_{2} \sin \left (3 x \right )+c_{1} \cos \left (3 x \right )+4 \,{\mathrm e}^{2 x} \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 27
DSolve[y''[x]+9*y[x]==52*Exp[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 4 e^{2 x}+c_1 \cos (3 x)+c_2 \sin (3 x) \]