Problem 3. (40 points) Solve y' + 2x ¹y = x¹, y(1) = 9. (a) Identify the integrating factor, a(z). α(x) = (b) Find the g

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Problem 3. (40 points) Solve y' + 2x ¹y = x¹, y(1) = 9. (a) Identify the integrating factor, a(z). α(x) = (b) Find the g

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Problem 3. (40 points) Solve y' + 2x ¹y = x¹, y(1) = 9. (a) Identify the integrating factor, a(z). α(x) = (b) Find the general solution. y(x) = Note: Use C for an arbitrary constant. (c) Solve the initial value problem y(1) = 9. y(x) =
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