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Please answer with a solution. Thank You! 1) Given a differential equation (1−2x2−2y)dy−(4x3+4xy)dx = 0. Is it...

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Advance Math

Please answer with a solution. Thank You!

1) Given a differential equation(1−2x2−2y)dy−(4x3+4xy)dx = 0. Is it an exactequation? Justify your answer. Solve the equation.

2) Given a differential equation (y3 − y2sinx − x)dx + (3xy2 + 2y cos x)dy = 0. Is it an exactequation? Justify your answer. Solve the equation.

3) Solve the linear equation of order one: dy/dx + (1 + 2/x)y =x-2ex

4) Solve the linear equation of order one: xdy/dx − 2y =x4ex^2

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