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Form the differential equation of family...

Form the differential equation of family of curves `y = ae^(2x) + be^(3x)`, where a, b are arbitrary constants.

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To form the differential equation of the family of curves given by \( y = ae^{2x} + be^{3x} \), where \( a \) and \( b \) are arbitrary constants, we will follow these steps: ### Step 1: Differentiate the equation We start with the equation: \[ y = ae^{2x} + be^{3x} \] Now, we differentiate both sides with respect to \( x \): ...
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