Question: Consider the differential equation dy / dt = - ay + b , where both a and b are positive numbers a . find the

Consider the differential equation
dy/dt =-ay + b, where both a and b are positive numbers
a. find the general solution of the differential equation
b. sketch the solution for several different initial conditions
c. plot your solution from part b
d. based on your plot in part c. compare the effect of the quadratic drag force with that of linear drag force
e. Find the distance x(t) that the object falls in time t
f. find the time T it takes the object to fall 300m

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