The following equation describes a certain dilution process, where y(t) is the concentration of salt in a tank of fresh water to which salt brine is being added.
dy/dt + 2/(10 +2t) y = 4
Suppose that y(0) = 0.
a. Use MATLAB to solve this equation for y(t) and to plot y(t) for 0 ≤ f ≤ 10.
b. Check your results by using an approximation that converts the differential equation into one having constant coefficients.