Question

1- Find the solution of the following equations. For each equation, 2- determine the type of...

1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to.

1. y/x cos y/x dx − ( x/y sin y/x + cos y/x ) dy = 0

2. x(1 − y^2 )dx + y(8 − x^2 )dy = 0

3. (x^2 − x + y^2 )dx − (e^y − 2xy)dy = 0

4. 2x sin 3ydx + 3x^2 cos 3ydy = 0

5. (x ln x − 2xy^3 )dx + 3x^2 y^2dy = 0

6. dx + ( x/y − sin y ) dy = 0

7. (x + sin x + sin y)dx + cos ydy = 0

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