IDZ 11.3 - Option 2. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.2 a) y- y - 2y = 0; b) y + 9y = 0; a) y + 4y + 4y = 0

2. Find the general solution of the differential equation.
 2.2 y - 2y + 5y = 10e-xcos2x

3. Find the general solution of the differential equation.
 3.2 y + y - 6y = (6x + 1) e3x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.2 y - 6y + 9y = 9x2 - 39x + 65, y (0) = -1, 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)
 5.2 3y - 7y + 2y = f (x); a) f (x) = 3xe2x; b) f (x) = sin2x - 3cos2x