Separable Differential Equations: Quiz

Problem 3

Solve the following separable differential equation.

What best describes any solution to this differential equation?

  1. The solution is periodic.
  2. The solution has a single root.
  3. The limit as x approaches infinity of any solution y(x) is a finite number.
  4. The solution is a polynomial.

Answers, problem 3

Separate the differential equatoin and integrate both sides.

The solution is

And the sketch of this function is shown:

Therefore the answer is:

  1. The limit as x approaches infinity of any solution y(x) is a finite number.

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