IDZ 11.3 - Option 20. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.20 a) y + 25y = 0; b) y- 10y + 16y = 0; a) y- 8y + 16y = 0

2. Find the general solution of the differential equation.
  2.20 y + 5y = 39cos3x - 105sin3x

3. Find the general solution of the differential equation.
  3.20 y + 6y + 9y = 72e3x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.20 y- 2y + 37y = 36excos6x, y (0) = 0, y (0) = 6

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.20 5y- 6y + y = f (x); a) f (x) = x2ex; b) f (x) = cosx - sinx