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If y=500 e^(7x)+600 e^(-7x), show that (...

If `y=500 e^(7x)+600 e^(-7x)`, show that `(d^2y)/(dx^2)=49 y`

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To show that \(\frac{d^2y}{dx^2} = 49y\) for the function \(y = 500 e^{7x} + 600 e^{-7x}\), we will follow these steps: ### Step 1: Differentiate \(y\) to find \(\frac{dy}{dx}\) Given: \[ y = 500 e^{7x} + 600 e^{-7x} \] ...
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