# Solve the following initial value problem for u as a function of t: du/dt+k/ m u = 0 (k and m positive constants) , u(0) = u0 a. as a first-order linear equation. b. as a separable equation.

Question

Solve the following initial value problem for u as a function of t:

du/dt+k/ m u = 0 (k and m positive constants) , u(0) = u0

a. as a first-order linear equation.

b. as a separable equation.