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

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 (π / 2) = 1

Expert Solution

Colby Messinger answered 2 years ago

Show the differential equation is not exact and by finding an appropriate integrating factor solve the...

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