Questions from Calculus

Q: One problem in psychology is to determine the relation between some physical

One problem in psychology is to determine the relation between some physical stimulus and the corresponding sensation or reaction produced in a subject. Suppose that, measured in appropriate units, th...

Q: Solve the following differential equations: dy/dt = (

Solve the following differential equations: dy/dt = (5 – t)/y2

Q: Solve the following differential equations: dy/dt = te2y

Solve the following differential equations: dy/dt = te2y

Q: Solve the following differential equations: dy/dt = et

Solve the following differential equations: dy/dt = et/ey

Q: Find an integrating factor for each equation. Take t > 0

Find an integrating factor for each equation. Take t > 0. y’ + √t y = 2(t + 1)

Q: Find an integrating factor for each equation. Take t > 0

Find an integrating factor for each equation. Take t > 0. y’ – y/(10 + t) = 2

Q: Find an integrating factor for each equation. Take t > 0

Find an integrating factor for each equation. Take t > 0. y’ = t2(y + 1)

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

Solve the given equation using an integrating factor. Take t > 0. y' + y = 1

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

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

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, and suppose that y = f (t) satisfies the differential equation y’ = .05y - 10,000. (a) If after 1 year the balance is $150,000, is...