Leaky bucket

3. Leaky bucket: A bucket in the shape of a cylinder has a small hole in its bottom, through which water is leaking. Let the height of the water in the bucket be h(t), let A be the cross sectional area of the bucket and a the area of teh small hole. We want to find out how long will it take the bucket to empty (see attachment for more details)

Second order ODE

Find solution of y'' + 6y' = 80exp((2)t)) with y(0) = 8 and y'(0)=5

second order ODE

Find solution of: y'' - 2y' + y = 16exp((5)t) y(0)=1 y'(0)=6

2nd order ODE

Find solution of y'' + 8y' = 896sin(8t) + 640cos(8t) with y(0)= 4 and y'(0)=9

second order ODE

Use method of undetermined coefficients to find one solution of: y'' - 9y' +24y = (7)exp((6)*t)