# Diferential equation

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• Oct 9th 2012, 03:36 PM
ajtrask
Diferential equation
Identify the types of differential equation, such as linear/nonlinear, homogeneous/nonhomogeneous.
solve the initial value problem
determine the interval of existence, if you can find an explicit solution

1. y' + 2ty = 4t, y(0) = -4

2. y' + 2y = e^-t + t + 1, y(-1) = e

3. dy/dt + 1/t*y = ty^2

4. y' = -y + ty^-2, y(0) = 2

5. t^2y' + sec y = 0, y(-1) = 0

6. (2y - sin y)y' + t = sint, y(0) = 0
• Oct 9th 2012, 05:29 PM
Prove It
Re: Diferential equation
Quote:

Originally Posted by ajtrask
Identify the types of differential equation, such as linear/nonlinear, homogeneous/nonhomogeneous.
solve the initial value problem
determine the interval of existence, if you can find an explicit solution

1. y' + 2ty = 4t, y(0) = -4

2. y' + 2y = e^-t + t + 1, y(-1) = e

3. dy/dt + 1/t*y = ty^2

4. y' = -y + ty^-2, y(0) = 2

5. t^2y' + sec y = 0, y(-1) = 0

6. (2y - sin y)y' + t = sint, y(0) = 0

What have you tried?