Consider the nonhomogeneous linear equation dy/dt = −y + 2.
(a) Compute an equilibrium solution for this equation.
(b) Verify that y(t) = 2 − e−t is a solution for this equation.
(c) Using your results in parts (a) and (b) and the Uniqueness Theorem, explain why the Linearity Principle does not hold for this equation.
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