IDZ 11.3 - Option 12. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.12 a) y + 4y + 20y = 0; b) y- 3y- 10y = 0; a) y- 16y = 0

2. Find the general solution of the differential equation.
 2.12 y - 5y - 6y = 3cosx + 19sinx

3. Find the general solution of the differential equation.
 3.12 y + 2y - 3y = (12x2 + 6x - 4) ex

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.12 y + 10y + 34y = -9e-5x, 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)
 5.12 y + 36y = f (x); a) f (x) = 4xe-x; b) f (x) = 2sin6x