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In: Math

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. Separable equation, Homogenous equation, Linear equation, or Bernolli equation?

1. ydx − x ln xdy = 0

2. y ′ = (1+y^2) / (xy(1+x2))

3. xy′ + (1 + y^2 ) tan^−1 y = 0

4. y ′ = (y) / (x+ √xy)

5. y ′ = (y−x) / (y+x)

6. tan x dy/dx + y = 3x sec x

7. (2xy^5 − y)dx + 2xdy = 0

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