The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ = ex/³ Use reduction of order or formula (5) in Section 4.2, as instructed. e-/P(x) dx x²(x) Y2 = Y₁(x) [² Find the integrating factor. e-SP(x) dx = Find a second solution y₂(x). Y₂ dx (5)

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A: The given differential equation is;  x2y''+13xy'+36y=0.

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A: We can evaluate the double integral.

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A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

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A: As per our norms we have to write one question at a time kindly repost remaining questions.

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A: In this question, we want to find the antiderivative of the given function r(x).

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A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

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A: This question can be solved using the concept of point slope form of a line.

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A: topic- linear equations

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A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

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A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.

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