IDZ 11.3 - Option 18. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.18) y- 3y = 0; b) y- 7y - 8y = 0; a) y + 4y + 13y = 0

2. Find the general solution of the differential equation.
 2.18 y + 2y - 24y = 6cos3x - 33sin3x

3. Find the general solution of the differential equation.
 3.18 y + 2y + y = (12x - 10) e-x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.18 y- 2y + 5y = 5x2 + 6x - 12, 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)
 5.18 y- 4y = f (x); a) f (x) = (x - 2) e4x; b) f (x) = 3cos4x