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How do you do this question?

How do you do this question?-example-1
User Cheng Chen
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1 Answer

6 votes

Answer:

(a) >, decreasing

(b) 0, horizontal

Explanation:

(a) dy/dt = eᵗ (y − 1)²

eᵗ is always positive, and (y − 1)² is always positive. So dy/dt is always positive. Meaning the graph of the solution can never be decreasing.

(b) When y = 1, dy/dt = e¹ (1 − 1)² = 0. However, this graph does not have a horizontal tangent line at y=1, so this is not the solution of the differential equation.

User ChrisBD
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