Clicker Questions Friday Sep. 4, 2009

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Presentation transcript:

Clicker Questions Friday Sep. 4, 2009 Question 1: Which of the following differential equations is NOT separable?

Clicker Questions Friday Sep. 4, 2009 Question 2: If we separate the variables in the differential equation 3tz’=z2, you should get

Clicker Questions Friday Sep. 4, 2009 Question 3: Each of the following graphs represents solution curves to y’=ky. Rank these constants from smallest to largest.

Clicker Questions Friday Sep. 4, 2009 Question 4: Which of the following DEs would generate the slope field below? y’=yt y’=y/t y’=-yt y’=-y/t

Clicker Questions Friday Sep. 4, 2009 Question 5: Consider the slope field which shows the derivative y’ for a range of values for the function y and independent variable t. Suppose y(0)=-4. Predict y(5).

Clicker Questions Friday Sep. 4, 2009 Question 6: Using Euler’s Method, we set up the difference equation yn+1=yn+cΔt to approximate a differential equation. What is the differential equation? y’=cy y’=y+c y’=c y’=y+cΔt None of the above

Clicker Questions Friday Sep. 4, 2009 Question 7: Consider the differential equation y’=ay+b with parameters a and b.To approximate this differential equation using Euler’s Method, what is the difference equation?

Clicker Questions Friday Sep. 4, 2009 Question 8: We have used Euler’s Method to approximate the solution to a differential equation with the difference equation zn+1=1.2zn. We know that the function z(0)=3. Estimate z(2).