Questions from Calculus

Q: Solve the differential equation with the given initial condition. 3y2y’

Solve the differential equation with the given initial condition. 3y2y’ = -sin t, y(π/2) = 1

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

Solve the differential equation with the given initial condition. y' = -y2 sin t, y(π/2) = 1

Q: Solve the differential equation with the given initial condition. dy

Solve the differential equation with the given initial condition. dy/dt = (t + 1)/ty, t > 0, y(1) = -3

Q: Solve the differential equation with the given initial condition. dy

Solve the differential equation with the given initial condition. dy/dt = [(1 + t)/(1 + y)]2, y(0) = 2

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

Solve the differential equation with the given initial condition. y’ = 5ty - 2t, y(0) = 1

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

Solve the differential equation with the given initial condition. y’ = t2/y , y(0) = -5

Q: Solve the differential equation with the given initial condition. dy

Solve the differential equation with the given initial condition. dy/dx = ln x/√xy, y(1) = 4

Q: Solve the differential equation with the given initial condition. dN

Solve the differential equation with the given initial condition. dN/dt = 2tN2, N(0) = 5

Q: A lake is stocked with 100 fish. Let f (t

A lake is stocked with 100 fish. Let f (t) be the number of fish after t months, and suppose that y = f (t) satisfies the differential equation y’ = .0004y(1000 - y). Figure 7 shows...

Q: A model that describes the relationship between the price and the weekly

A model that describes the relationship between the price and the weekly sales of a product might have a form such as dy/dp = -1/2 (y/p + 3), where y is the volume of sales and p is the price per un...