1. Find the general solution of the differential equation.
  1.7 a) y + y- 6y = 0; b) y + 9y = 0; a) y- 4y + 20y = 0

2. Find the general solution of the differential equation.
  2.7 y + y = 2cosx - (4x + 4) sinx

3. Find the general solution of the differential equation.
  3.7 y + 2y + y = 4x3 + 24x2 + 22x - 4

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.7 y- 4y + 20y = 16xe2x, y (0) = 1, y (0) = 2

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.7 y- 3y + 2y = f (x); a) f (x) = x + 2ex; b) f (x) = 3cos4x

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