Questions from Calculus

Q: Let f (t) be the balance in a savings account

Let f (t) be the balance in a savings account at the end of t years. Suppose that y = f (t) satisfies the differential equation y’ = .04y + 2000. (a) If after 1 year the balance is $10,000, is it inc...

Q: Solve the given equation using an integrating factor. Take t >

Solve the given equation using an integrating factor. Take t > 0. y’ + y = 2 - et

Q: Solve the given equation using an integrating factor. Take t >

Solve the given equation using an integrating factor. Take t > 0. 1 / √(t + 1) y’ + y = 1

Q: Solve the initial-value problem. y' + 2y =

Solve the initial-value problem. y' + 2y = 1, y(0) = 1

Q: Solve the initial-value problem. ty’ + y =

Solve the initial-value problem. ty’ + y = ln t, y(e) = 0, t > 0

Q: Solve the initial-value problem. y’ + y/(

Solve the initial-value problem. y’ + y/(1 + t) = 20, y(0) = 10, t ≥ 0

Q: Solve the initial-value problem. y’ = 2(

Solve the initial-value problem. y’ = 2(10 - y), y(0) = 1

Q: Solve the initial-value problem. y’ + y =

Solve the initial-value problem. y’ + y = e2t, y(0) = -1

Q: Solve the initial-value problem. ty’ - y =

Solve the initial-value problem. ty’ - y = -1, y(1) = 1, t > 0

Q: Solve the initial-value problem. y’ + 2y cos

Solve the initial-value problem. y’ + 2y cos(2t) = 2 cos(2t), y(π/2) = 0