IDZ 11.3 - Option 17. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.17 a) y + 25y = 0; b) y + 6y + 9y = 0; a) y + 2y + 2y = 0;

2. Find the general solution of the differential equation.
  2.17 y + y = -4cosx - 2sinx

3. Find the general solution of the differential equation.
  3.17 y + 4y + 5y = 5x2 - 32x + 5

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.17 y + y - 12y = (16x + 22) e4x, y (0) = 3, 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)
  5.17 y- 16y = f (x); a) f (x) = -3e4x; b) f (x) = cosx - 4sinx