1. Find the general solution of the differential equation.
  1.23 a) y + 2y + y = 0; b) y + 6y + 25y = 0; a) y- 4y = 0

2. Find the general solution of the differential equation.
  2.23 y + 16y = 8cos4x

3. Find the general solution of the differential equation.
3.23 y + y - 2y = 9cosx - 7sinx

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
4.23 y + 3y = (40x + 58) e2x, y (0) = 0, 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)
5.23 y- 3y = f (x); a) f (x) = 2x3 - 4x; b) f (x) = 2e3xcosx

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