Questions from General Calculus

Q: Solve the given differential equation with initial condition. y’ -

Solve the given differential equation with initial condition. y’ - .6y = 0, y(0) = 5

Q: Solve the given differential equation with initial condition. y’ -

Solve the given differential equation with initial condition. y’ -y/7 = 0, y(0) = 6

Q: Solve the given differential equation with initial condition. 6y’ =

Solve the given differential equation with initial condition. 6y’ = y, y(0) = 12

Q: Solve the given differential equation with initial condition. 5y =

Solve the given differential equation with initial condition. 5y = 3y’, y(0) = 7

Q: Let P(t) be the population (in millions)

Let P(t) be the population (in millions) of a certain city t years after 2015, and suppose that P(t) satisfies the differential equation P(t) = .01P(t), P(0) = 2. (a) Find a formula for P(t). (b) Wha...

Q: Determine the growth constant k, then find all solutions of the

Determine the growth constant k, then find all solutions of the given differential equation. y' = .4y

Q: A colony of fruit flies exhibits exponential growth. Suppose that 500

A colony of fruit flies exhibits exponential growth. Suppose that 500 fruit flies are present. Let P(t) denote the number of fruit flies t days later, and let k = .08 denote the growth constant. (a) W...

Q: A colony of fruit flies exhibits exponential growth. Suppose that 500

A colony of fruit flies exhibits exponential growth. Suppose that 500 fruit flies are present. Let P(t) denote the number of fruit flies t days later, and let k = .08 denote the growth constant. (a) W...

Q: The initial size of a bacteria culture that grows exponentially was 10

The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are 15,000 bacteria. (a) Find the growth constant if time is measured in days. (b) How long will it take...

Q: Differentiate the functions. y = (x2 – 1)

Differentiate the functions. y = (x2 – 1) / (x2 + 1)