微积分问题,主要是看不懂题干,真不知道是应该说是英语问题,还是数学问题……
When a mass m on the end of a spring is pulled down and then released and the resulting motion is subjected to a damping force proportional to the belocity then the motion is described by the D.E.
d^2y/dt^2+cdy/dt+ky=0
Where y is the displacement from the equilibrium position at time t.

a. Suppose the D.E. is d^2y/dt^2+4dy/dt+3y=0
Show that y=e^-3tis a solution to this equation.