IDZ 11.3 - Option 10. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.10) y- 6y + 8y = 0; b) y + 4y + 5y = 0; a) y + 5y = 0

2. Find the general solution of the differential equation.
 2.10 y + 6y + 9y = (48x + 8) ex

3. Find the general solution of the differential equation.
 3.10 y- 8y + 20y = 16 (sin2x - cos2x)

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.10 y- y = (14 - 16x) e-x, y (0) = 0, y (0) = -1

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.10 y- 3y = f (x); a) f (x) = 2x2 - 5x; b) f (x) = e-xsin2x