Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x + 3)? ○ y = ex²+3x+0.073 y = ex²+3x -0.073 y = 0.073 ex²+3x y = ex² + 3x + 0.073

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A: In this question we have to Integrate using the method of trigonometric substitution.

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A: it is very basic question of trigonometry.

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A: The given problems can be solved using chain rule of differentiation.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: To find the derivative.

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A: We will use comparison theorem to compare the given two Integrals.

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A: To solve the following integral problem

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: Given :y''+6y'-7y=11e2x

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A: We can find the shortest distance as below.