IDZ 11.3 - Option 14. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.14 a) 2y + 3y + y = 0; b) y + 4y + 8y = 0; in) y- 6y + 9y = 0

2. Find the general solution of the differential equation.
  2.14 y + 8y + 25y = 18e5x

3. Find the general solution of the differential equation.
  3.14 y + 3y = 10 - 6x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.14 y + 25y = ex (cos5x - 10sin5x), y (0) = 3, 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)
  5.14 4y- 5y + y = f (x); a) f (x) = (4x + 2) ex; b) f (x) = exsin3x