Separation of variables - Mastery checkpoint

Last updated over 3 years ago
2 questions
Required
1

Find the general solution of the differential equation

Required
1

A water tank initially holding 3636 litres of water is drained using a tap. According to Torricelli’s theorem, the volume V of water left in the tank with respect to time (in minutes) can be modelled by the differential equation


Where k is a constant.

It takes one hour for the tank to drain completely. Find the value of k.