Applications of Differential Equations : Mass-spring system
The motion of a certain mass in a spring is described by:
![\sf x''+2x'+2x=5sin(t)](https://img.qammunity.org/2023/formulas/mathematics/college/yj4xoa0ixwj5x2972gq60jdksodk0wxm.png)
a) What is the amplitude of the resulting constant periodic oscillations?
b) Suppose the mass is initially at rest, that is, x(0)=0 and x′(0)=0, find the position function x(t).