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Math Help - Confirm that the given function satisfies a differential equation.

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    Confirm that the given function satisfies a differential equation.

    Question in the attactment ! Please help me guys !
    Attached Thumbnails Attached Thumbnails Confirm that the given function satisfies a differential equation.-untitled.png  
    Last edited by mr fantastic; December 7th 2011 at 02:02 AM. Reason: Re-titled.
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    Re: Urgent ! Calculus test tml ! Help me please :(

    Quote Originally Posted by Lownavin View Post
    Question in the attactment ! Please help me guys !
    This is quite straightforward, differentiate the function twice, then substitute them into the DE to show that it is zero...
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    Re: Urgent ! Calculus test tml ! Help me please :(

    Quote Originally Posted by Lownavin View Post
    Question in the attactment ! Please help me guys !
    \frac{dy}{dx}=e^{5x}+5xe^{5x}

    \frac{d^{2}y}{dx^2}=5e^{5x}+5e^{5x}+25xe^{5x}=10e^  {5x}+25xe^{5x}
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    Re: Urgent ! Calculus test tml ! Help me please :(

    How do i get 10e^5x to become 10dy/dx
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    Re: Urgent ! Calculus test tml ! Help me please :(

    Quote Originally Posted by Lownavin View Post
    How do i get 10e^5x to become 10dy/dx
    As has been said already, you substitute the derivatives into the differential equation. And you have been given the derivatives! Now it's your turn to do some work.

    Show what you have tried and where you are stuck.
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