2- Consider y'- 2y = e3x and y(0) = -5. Find the value of L(y).

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A: The equation is given byTo determine: The solution of the equation.Formula used:

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A: L=limx→∞e3x−13xUsing the expansionex=1+x+x22!+x33!+⋯⋅

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: 7. L{ cos' t}

A: You have posted multiple question in this question which are not interlinked so i have solved first…

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A: To find the critical values of .

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A: D

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