IDZ 11.3 - Option 3. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.3 a) y- 4y = 0; b) y- 4y + 13y = 0; a) y- 3y + 2y = 0

2. Find the general solution of the differential equation.
 2.3 y - 2y - 8y = 12sin2x - 36cos2x

3. Find the general solution of the differential equation.
 3.3 y - 7y + 12y = 3e4x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.3 y + 2y + 2y = 2x2 + 8x + 6, y (0) = 1, y (0) = 4

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.3 2y + y - y = f (x); a) f (x) = (x2 - 5) e-x; b) f (x) = xsinx