Find the LT of each of the following and use inverse LT to bring back the original function. a. y=ex b. y=x²

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A: Topic:- application of integration

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A: cos(2x) = 1-2sin2(x)

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A: solution

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A: Topic = Derivative

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A: Break the integral according to limits.

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Q: =O 2. (6x+y²) dx + (2xy-3y²) dy

A: Given differential equation, (6x+y²)dx+(2xy-3y²)dy=0...(i) Comparing (i) with Mdx+Ndy=0 we get,…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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