IDZ 11.3 - Option 6. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  And 1.6) y- 4y = 0; b) y + 2y + 17y = 0; a) y- y- 12y = 0

2. Find the general solution of the differential equation.
  2.6 y- 6y + 10y = 51e-x

3. Find the general solution of the differential equation.
  3.6 y - 2y = (4x + 4) e2x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.6 y + 6y = ex (cos4x - 8sin4x), y (0) = 0, y (0) = 5

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.6 3y + 10y + 3y = f (x); a) f (x) = e-3x; b) f (x) = 2cos3x - sin3x