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y = c(1)e^(3x) +c(2)e^(2x)...

` y = c_(1)e^(3x) +c_(2)e^(2x)`

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To solve the differential equation given by \( y = c_1 e^{3x} + c_2 e^{2x} \), we will follow these steps: ### Step 1: Divide the equation by \( e^{2x} \) We start by dividing the entire equation by \( e^{2x} \): \[ \frac{y}{e^{2x}} = c_1 e^{3x - 2x} + c_2 \cdot \frac{e^{2x}}{e^{2x}} \] ...
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