CALENG3 Quiz 3

Question 1

In the Wronskian Method, the functions are considered to be linearly dependent and linearly independent under what conditions?

Answer 1

If W(x) equals 0, they are linearly dependent.
If W(x) does not equal 0, they are linearly independent.

Question 2

The Wronskian was created by _______ .

Answer 2

Jozef Maria Hoene-Wronski

Question 3

In using Method of Undetermined Coefficients, the following types for R(x) can be __________________ , otherwise use Variation of Parameters

Answer 3

Polynomial
Exponential
Sine Function
Cosine Function

Question 4

Quadratic formula

Answer 4

(-b +- sqrt(b^2-4ac) )/ 2a

Question 5

True or False. We must use Variation of Parameters when R(x) is given as a fraction despite it containing exponential functions (ex. e^2x/ (1+e^2x) ) .

Answer 5

True

Question 6

Derivative of ln x

Answer 6

1/x