Find an integrating factor of the form x”yin and solve the following equation (12 + 5 xy) dx + (6 xy-1 + 3×2 dy = 0

First order and second order deferential equations

Find an integrating factor of the form x”yin and solve the following equation (12 + 5 xy) dx + (6 xy-1 + 3×2 dy = 0

Let y be a function of x. identify (do not solve) the following equations as homogenous or/and Bernoulli. Give a clear and detailed reason for your answer. A) -(y2 + x, I x2 + y2 )dx + xydy = 0 B) (y3x+y)dx+dy =0

Let y be a function of x. Identify (do not solve) the following equations as separable, linear, exact, having an integrating factor that is a function of either x alone or y alone, or neither. Give a clear and detailed reason for your answer.
A) (2y2 + 2y + 4×2)dx + (2xy + x)dy = 0 B) (y2 +2xy)dx – x2 ydy = 0

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