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Check that the following differential equation is not exact. Find an integrating factor that makes it...

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Advance Math

Check that the following differential equation is not exact.Find an integrating factor that makes it exact and solve it.

ydx + (3 + 3x-y) dy = 0

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Solve the initial value problem:

(cos xsen x-xy ^ 2) dx + (1-x ^ 2) ydy = 0 if y (0) = 2

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Solve the initial value problem:

y ^ (2) cosx dx + (4 + 5ysenx) dy = 0; y (? / 2) = 1

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