Questions from Calculus


Q: Outline the procedure for sketching a solution of an autonomous differential equation

Outline the procedure for sketching a solution of an autonomous differential equation.

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Q: What is the logistic differential equation?

What is the logistic differential equation?

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Q: Describe Euler’s method for approximating the solution of a differential equation.

Describe Euler’s method for approximating the solution of a differential equation.

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Q: If y0 > 1, is the solution y = f (

If y0 > 1, is the solution y = f (t) of the initial-value problem y’ = 2y (1 - y), y (0) = y0, decreasing for all t > 0? Answer this question based on the slope field shown in...

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Q: What is a differential equation?

What is a differential equation?

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Q: What does it mean for a function to be a solution to

What does it mean for a function to be a solution to a differential equation?

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Q: What is a solution curve?

What is a solution curve?

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Q: What is a constant solution to a differential equation?

What is a constant solution to a differential equation?

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Q: Solve the differential equation. (y’)2 = t

Solve the differential equation. (y’)2 = t

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Q: Solve the differential equation. y' = 7y’ + ty’,

Solve the differential equation. y' = 7y’ + ty’, y(0) = 3

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