1. Find the general solution of the differential equation.

1.13 a) 9y + 6y + y = 0; b) y- 4y- 21y = 0; a) y + y = 0


2. Find the general solution of the differential equation.

2.13 y - 8y + 12y = 36x4 - 96x3 + 24x2 + 16x - 2


3. Find the general solution of the differential equation.

3.13 y + 4y + 4y = 6e-2x


4. Find a particular solution of the differential equation that satisfies the given initial conditions.

4.13 y- 6y + 25y = (32x - 12) sin3x - 36xcos3x, y (0) = 4, y (0) = 0


5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)

5.13 y- 6y + 9y = f (x); a) f (x) = (x - 2) e3x; b) f (x) = 4cosx

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