True or false: methods of solution

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Variable separable needs the x and y terms to split completely.

2. Statement is true

   Yes

   Statement

   A first order linear equation has the form dy/dx + Py = Q.

3. Statement is true

   No

   Statement

   In that form, P and Q may be functions of y.

4. Statement is true

   Yes

   Statement

   A homogeneous differential equation involves functions homogeneous of degree zero.

5. Statement is true

   No

   Statement

   Every equation is separable.

Explanation