IDZ 11.3 - Option 24. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
1.24 a) y + 10y = 0; b) y- 6y + 8y = 0; a) 4y + 4y + y = 0

2. Find the general solution of the differential equation.
 2.24 y + 9y = 9x4 + 12x2 - 27

3. Find the general solution of the differential equation.
 3.24 y + 2y + y = (18x + 8) e-x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.24 y - 9y + 18y = 26cosx - 8sinx, y (0) = 0, 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)
 5.24 y- 7y + 12y = f (x); a) f (x) = xe3x + 2ex; b) f (x) = 3xsin2x