IDZ 11.3 - Option 29. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.29 a) 6y + 7y - 3y = 0; b) y + 16y = 0; a) 4y- 4y + y = 0;

2. Find the general solution of the differential equation.
  2.29 6y- y - y = 3e2x

3. Find the general solution of the differential equation.
  3.29 y + 4y + 29y = 26e-x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.29 y + 5y + 6y = 52sin2x, y (0) = -2, y (0) = -2

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.29 y + y - 2y = f (x); a) f (x) = (2x - 1) e-x; b) f (x) = 3xcos2x