Match each method to the form it solves

Exercise and reference answers

Matching pairs

1. Left

   Variable separable

   Right

   all y terms go with dy, all x terms with dx

2. Left

   Homogeneous method

   Right

   dy/dx = f(x, y) with f homogeneous of degree zero

3. Left

   Linear method

   Right

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

4. Left

   A solution

   Right

   any function that satisfies the equation

Explanation