True or false: order and degree

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   The order is the order of the highest order derivative present.

2. Statement is true

   No

   Statement

   Every differential equation has a degree.

3. Statement is true

   Yes

   Statement

   Degree is defined only when the equation is polynomial in its derivatives.

4. Statement is true

   Yes

   Statement

   A degree, when defined, is a positive integer.

5. Statement is true

   No

   Statement

   Order and degree always have the same value.

Explanation