IDZ 11.3 - Option 1. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.1 a) y + 4y = 0; b) y- 10y + 25y = 0; a) y + 3y + 2y = 0

2. Find the general solution of the differential equation.
  2.1 y + y = 2x - 1

3. Find the general solution of the differential equation.
  3.1 y - 8y + 17y = 10e2x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.1 y - 2y + y = -12cos2x - 9sin2x, y (0) = -2, y (0) = 0

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
  5.1 2y - 7y + 3y = f (x); a) f (x) = (2x + 1) e3x; b) f (x) = cos3x