Question: fConsider the direction field from the differential equation y' = -y (a) Use the direction field above to sketch the graph of the solution with

$\fConsider the direction field from the differential equation y' = -y$ (a) Use the direction field above to sketch the graph of the solution with initial condition y(0) = -1B V A. B. C. D.

(b) Are there any equilibria? What are their stabilities? The equilibrium solution

y = is asymptotically stableUse Euler's method with step size 0.2 to

\fConsider the direction field from the differential equation y' = -y (a) Use the direction field above to sketch the graph of the solution with initial condition y(0) = -1B V A. B. C. D. (b) Are there any equilibria? What are their stabilities? The equilibrium solution y = is asymptotically stableUse Euler's method with step size 0.2 to estimate y(1), where y(a:) is the solution of the initialvalue problem 3/ = 2:1: + :92, y(0) = 1

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