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

Please answer with a solution. Thank You!

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

2) Given a differential equation (y³ − y² sinx − x)dx + (3xy² + 2y cos x)dy = 0. Is it an exact equation? Justify your answer. Solve the equation.

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

4) Solve the linear equation of order one: xdy/dx − 2y = x⁴e^{x^2}

Expert Solution

Colby Messinger answered 2 years ago

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