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Math Help - D.E question, is this correct

  1. #1
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    D.E question, is this correct

    Hi everyone
    Need help to verify my answers for this question.Thank you in advance for all kind help & support.

    Determine the type of the following differential equations including the ordinary or partial differential equations,order,linearity & homogeneity.

    a) \frac{dy}{dx}-4y=0
    Linear, First order, Homogenous.

    b) \frac{dy}{dt}+\frac{dx}{dt}=0
    Partial differential equation.

    c) \frac{d^2y}{dt^2}-3\frac{dy}{dt}+7y=0
    Linear, 2nd order, homogenous.

    d) (\frac{dy}{dt})^2+3y=0
    Non-linear,First order, 2nd degree

    e) \frac{d^2x}{dt}+2\frac{dx}{dt}+7x=sint
    Linear,2nd order, Non-homogenous

    Thank you in advance for all help & support.
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  2. #2
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    Quote Originally Posted by anderson View Post
    Hi everyone
    Need help to verify my answers for this question.Thank you in advance for all kind help & support.

    Determine the type of the following differential equations including the ordinary or partial differential equations,order,linearity & homogeneity.

    a) \frac{dy}{dx}-4y=0
    Linear, First order, Homogenous.

    b) \frac{dy}{dt}+\frac{dx}{dt}=0
    Partial differential equation.

    c) \frac{d^2y}{dt^2}-3\frac{dy}{dt}+7y=0
    Linear, 2nd order, homogenous.

    d) (\frac{dy}{dt})^2+3y=0
    Non-linear,First order, 2nd degree

    e) \frac{d^2x}{dt}+2\frac{dx}{dt}+7x=sint
    Linear,2nd order, Non-homogenous

    Thank you in advance for all help & support.
    Everything is good except (b). THe notation says that x and y are functions of t so this would be an ordinary differential equation (but you would need another equation to complete the system).
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