1. Find the general solution of the differential equation.
  1.30 a) 9y- 6y + y = 0; b) y + 12y + 37y = 0; a) y- 2y = 0;

2. Find the general solution of the differential equation.
  2.30 2y + 7y + 3y = 222sin3x

3. Find the general solution of the differential equation.
  3.30 4y + 3y - y = 11cosx - 7sinx

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.30 y- 4y = 8e2x, y (0) = 1, y (0) = -8

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.30 y + 3y - 4y = f (x); a) f (x) = 6xe-x; b) f (x) = x2sin2x

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