IDZ 11.3 - Option 8. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
  1.8 a) y- 49y = 0; b) y- 4y + 5y = 0; a) y + 2y- 3y = 0

2. Find the general solution of the differential equation.
  2.8 y + 6y + 10y = 74e3x

3. Find the general solution of the differential equation.
  3.8 y- 4y = 8 - 16x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.8 y - 12y + 36y = 32cos2x + 24sin2x, y (0) = 2, 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)
  5.8 y- 4y + 4y = f (x); a) f (x) = sin2x + 2ex; b) f (x) = x2 - 4