Question: Verify that the indicated expression is an implicit solution of the given differential equation. 1. x dy/dx + y = 1/y 2 ; x 3

Verify that the indicated expression is an implicit solution of the given differential equation.

1. x dy/dx + y = 1/y2 ; x3y3 = x3 + 1

2. (dy/dx)2 + 1 = 1/y2 ; (x - 5)2 + y2 = 1

3. y'' = 26(y')3 ; y3 + 3y = 1 – 3x

4. (1 = xy)y' = y2 ; y = exy

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