IDZ 11.3 - Option 16. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.16 a) y + 6y = 0; b) y + 10y + 29y = 0; a) y- 8y + 7y = 0

2. Find the general solution of the differential equation.
 2.16 y + 36y = 36 + 66x - 36x3

3. Find the general solution of the differential equation.
 3.16 y + 4y + 20y = 4cos4x - 52sin4x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.16 y - 10y + 25y = e5x, 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)
 5.16 y- y - 6y = f (x); a) f (x) = 2xe3x; b) f (x) = 9cosx - sinx