Recognising the type

Exercise and reference answers

Questions

1. Question

   dy/dx + Py = Q with P, Q functions of x is called

   Choices

   1. homogeneous
   2. first order linear
   3. variable separable

   Correct choice

   first order linear

2. Question

   An equation whose variables split completely is solved by

   Choices

   1. the linear method
   2. substitution y = vx
   3. variable separable

   Correct choice

   variable separable

3. Question

   A homogeneous differential equation has f(x, y) homogeneous of degree

   Choices

   1. zero
   2. one
   3. two

   Correct choice

   zero

4. Question

   A general solution contains arbitrary constants numbering

   Choices

   1. always one
   2. as many as the order
   3. none

   Correct choice

   as many as the order

Explanation