IDZ 11.3 - Option 22. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.22) y- 6y + 13y = 0; b) y- 2y- 15y = 0; a) y- 8y = 0

2. Find the general solution of the differential equation.
 2.22 y - 4y + 5y = (24sinx + 8cosx) e-2x

3. Find the general solution of the differential equation.
 3.22 y + 4y = 15ex

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.22 y + 12y + 36y = 72x3 - 18, y (0) = 1, 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)
 5.22 y- 2y - 15y = f (x); a) f (x) = 4xe3x; b) f (x) = xsin5x