1. Find the general solution of the differential equation.
  1.25 a) y + 5y = 0; b) 9y- 6y + y = 0; a) y + 6y + 8y = 0;

2. Find the general solution of the differential equation.
  2.25 y- 12y + 40y = 2e6x

3. Find the general solution of the differential equation.
  3.25 y - 14y + 49y = 144sin7x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.25 y + 8y = 18x + 60x2 - 32x3, y (0) = 5, 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)
  5.25 y + 9y = f (x); a) f (x) = x2 + 4x - 3; b) f (x) = xe2xsinx

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