PDEs

Question 1

What is the difference between PDEs and ODEs?

Answer 1

ODEs are functions of one variable.

PDEs are functions of two or more variables.

Question 2

When you differentiate a series, what happens to the index of the series?

Answer 2

Increases by 1 for Method 1.

Remains the same for Method 2.

Question 3

What conditions must be met to add two or more series together?

Answer 3

Same indices and same starting powers

Question 4

What defines an even function?

Answer 4

f(x) = f(-x);

Symmetric reflection over the y-axis

Question 5

What defines an odd function

Answer 5

f(x) = -f(-x); OR -f(x) = f(-x)

Symmetric reflection over the y-axis, then the x-axis