IDZ 11.3 - Option 28. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.28 a) y + 8y + 25y = 0; b) y + 9y = 0; in) 9y + 3y- 2y = 0

2. Find the general solution of the differential equation.
 2.28 y + 2y + 37y = 37x2 - 33x + 74

3. Find the general solution of the differential equation.
 3.28 3y - 5y - 2y = 6cos2x + 38sin2x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.28 y + 16y = 32e4x, y (0) = 2, 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)
 5.28 y- 8y + 16y = f (x); a) f (x) = 2xe4x; b) f (x) = cos4x + 2sin4x