Question: The differential equation dy/dx = 1 y can be solved using Eq. (2) in Section 10.2 and using Theorem 1 in this section. Show

The differential equation dy/dx = 1 − y can be solved using Eq. (2) in Section 10.2 and using Theorem 1 in this section. Show that both approaches lead to the same general solution.

Eq (2) Section 10.2

y(t) = b + Cekt

THEOREM 1 The general solution of y' + P(x)y= Q(x) is ; (/ a (x ) Q ( x) dx) y = 1 (x) where a (x) is an

y(t) = b + Cekt

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