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Math Help - Diferential equation

  1. #1
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    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
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  2. #2
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    Re: Diferential equation

    Quote Originally Posted by ajtrask View Post
    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?
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