Two are true, one is not

Exercise and reference answers

Questions

1. False statement

   Every differential equation has a degree

   Statements

   1. Order is the order of the highest order derivative
   2. Degree needs the equation to be polynomial in its derivatives
   3. Every differential equation has a degree

2. False statement

   A particular solution has more constants than a general one

   Statements

   1. A particular solution has more constants than a general one
   2. A general solution has as many constants as the order
   3. A particular solution has no arbitrary constants

3. False statement

   P and Q there must be functions of y

   Statements

   1. dy/dx + Py = Q is first order linear
   2. P and Q there must be functions of y
   3. P and Q there are constants or functions of x only

Explanation