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please answer the following, choose the correct answer: 1. Determination of Integrating Factors: Solve the equation * (1 Point) ( 4xy + 3y2 - x)

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1. Determination of Integrating Factors: Solve the equation * (1 Point) ( 4xy + 3y2 - x) dx + x (x + 2y) dy = 0 Ox' ( 4xy + 4y- - x) = C O x3 ( 4y + 4y2 - 1) = CX 2. Bernoulli's Equations: Solve the equation * (1 Point) by- dx - x (2x3 + y) dy = 0 O ( 2x 3 - y) ' = Cyx6 (2x3 - y? ) = cry3. Integrating Factors Found by Inspection: Solve the equation * (1 Point) 3x - ydx + (y4 - x3 ) dy = 0 O 3x3 +y = cy ( 3x' y + y' = c 4. Determination of Integrating Factors: Solve the equation * (1 Point) y ( x + y ) dx + ( x + 2y - 1) dy = 0 O y (x ty - 1) = ce-* Oy(xty - 1) = ce

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