Determine the values of r for which the differential equation y' +9y = 0 has solutions of the form y = ert.

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A: This question can be solved using the concept of integration by parts.

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A: Solution of given question is written in below steps.

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A: We have to integrate the given function for the given limits

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A: A detailed solution is given below

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A: Topic:- function and integration

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A: Let's find.

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A: Solving the definite integral.

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A: We can explain the answer for you in the following steps.

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A: We can find the intercepts as below in the following steps.

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A: Given that    f(x) = (3x2-20x+25)/(2x2+1x-1)

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A: Let's find.

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A: At first, we will do partial fraction then we will do integration

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A: Given problem:-

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