True or false on differential equations

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Order is set by the highest derivative.

2. Statement is true

   No

   Statement

   Degree is defined for every equation.

3. Statement is true

   Yes

   Statement

   The general solution holds arbitrary constants.

4. Statement is true

   No

   Statement

   A particular solution holds arbitrary constants.

5. Statement is true

   Yes

   Statement

   One independent variable gives an ordinary one.

6. Statement is true

   No

   Statement

   Partial equations are taken up at this stage.

Instructions

Decide whether each statement is true or false.

Explanation