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 fo ...continues

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)

second order ODE

Use the method of undetermined coefficients to find one solution of : y'' - 16y' +101y = 16exp(8t)cos(6t)+16exp(8t)sin(6t)+1*1

2nd order ODE

find particular solution to differential equation 3y'' + 4y' + 1y = 1t^2 -2t + 2e^(-3t)

2nd order

Find a particular solution to y'' + 9y = -18sin(3t)

part. sol. to second order ODE

find particular solution to y'' - 8y' + 16y = 19.5e^(4t)

second order ODE

find a particular solution to the differential equation: y'' - 2y' -15y = 450t^3