IDZ 11.3 - Option 26. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.26 a) y + 6y + 10y = 0; b) y - 4y + 4y = 0; a) y- 5y + 4y = 0

2. Find the general solution of the differential equation.
 2.26 y + 4y = ex (24cos2x + 2sin2x)

3. Find the general solution of the differential equation.
 3.26 y + 9y = 10e3x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.26 y- 3y + 2y = -sinx - 7cosx, y (0) = 2, y (0) = 7

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.26 y- 4y + 5y = f (x); a) f (x) = -2xex; b) f (x) = xcos2x - sin2x