**QUESTION**

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Question 1 (1 point) For a first-order DE like $\frac{d y}{d t}=f(t, y)$, what is an equilibrium value? At value that always increases, for all values of $y$. A y value that remains constant forever if we start at that $y$. A t value that remains constant forever if we start at that $t$. A y value that always increases, for all values of $t$. Question 2 (1 point) Staring from a differential equation $\frac{d y}{d t}=f(t, y)$, how can you find the equilibrium value(s)? Set $\mathrm{t}=0$ and solve for $\mathrm{y}$. Set $\frac{d y}{d t}=0$ and solve for $\mathrm{y}$. Set $\frac{d y}{d t}=0$ and solve for $\mathrm{t}$. Set $\mathrm{y}=0$ and solve for $\mathrm{t}$.

What is/are the equilibria of the differential equation \[ \frac{d P}{d t}=-0.02 P(400-P) \text { ? } \] $P=0$ $P=0.02$ $P=0.02$ and $P=400$ $P=0$ and $P=400$