IDZ 11.3 - Option 27. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.27) y- y = 0; b) 4y + 8y - 5y = 0; a) y- 6y + 10y = 0;

2. Find the general solution of the differential equation.
 2.27 y + 2y + y = 6e-x

3. Find the general solution of the differential equation.
 3.27 4y - 4y + y = -25cosx

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.27 y + 2y = 6x2 + 2x + 1, y (0) = 2, y (0) = 2

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.27 y + 3y + 2y = f (x); a) f (x) = (3x - 7) e-x; b) f (x) = cosx - 3sinx