## Related questions with answers

Question

(a) Find all equilibrium solutions for the equation

$\frac{d y}{d x}=0.5 y(y-4)(2+y)$

(b) With a calculator or computer, draw a slope field for this differential equation. Use it to determine whether each equilibrium solution is stable or unstable.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8This task aims to determine the equilibrium solutions of the differential equation, then get the value of $y$. Also, determine if the equilibrium is stable or unstable by sketching the slope field of the differential equation.

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