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If y=3e^(2x)+2e^(3x). Prove that (d^2y)/...

If `y=3e^(2x)+2e^(3x)`. Prove that `(d^2y)/(dx^2)-5(dy)/(dx)+6y=0`.

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To prove that \(\frac{d^2y}{dx^2} - 5\frac{dy}{dx} + 6y = 0\) for the function \(y = 3e^{2x} + 2e^{3x}\), we will follow these steps: ### Step 1: Find the first derivative \(\frac{dy}{dx}\) Given: \[ y = 3e^{2x} + 2e^{3x} \] ...
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