Internal problem ID [2178]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 20, page 90
Problem number: 5.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {y^{\prime \prime }+y=4 \sin \left (2 x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x$2)+y(x)=4*sin(2*x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\left (3 c_{1} -8 \sin \left (x \right )\right ) \cos \left (x \right )}{3}+\sin \left (x \right ) c_{2} \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 24
DSolve[y''[x]+y[x]==4*Sin[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {4}{3} \sin (2 x)+c_1 \cos (x)+c_2 \sin (x) \]