Question: Use the concept that y = c, - < x < , is a constant function if and only if y' = 0 to determine

Use the concept that y = c, -∞ < x < ∞, is a constant function if and only if y' = 0 to determine whether the given differential equation possesses constant solutions.

1. 3xy' + 5y = 10

2. y' = y² + 2y - 3

3. (y - 1)y' = 1

4. y'' + 4y' + 6y = 10

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