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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

The equation y' = x + y is separable.

Answer :

False. [tex]x+y[/tex] cannot be written as an expression in which dy/dx can be factored as a function x times a function of y. x + y is not factorable.

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