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Form the differential equation of y = (c1 + c2)ex

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Question

Form the differential equation of y = (c1 + c2)ex 

Sum
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Solution

y = (c1 + c2)ex 

= Aex,     ...(i)

Where A = (c1 + c2)

Here, A is an arbitrary constant.

Differentiating (i) w.r.t. x, we get

`("d"y)/("d"x)` = Aex

∴ `("d"y)/("dx)` = y     ......[From (i)]

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Chapter 2.6: Differential Equations - Attempt the following questions I

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