IDZ 11.3 - Option 4. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 1.4 a) y- 5y + 6y = 0; b) y + 3y = 0; a) y + 2y + 5y = 0

2. Find the general solution of the differential equation.
 2.4 y - 12y + 36y = 14e6x

3. Find the general solution of the differential equation.
 3.4 y- 2y = 6 + 12x - 24x2

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.4 y- 6y + 25y = 9sin4x - 24cos4x, 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)
 5.4 2y - 9y + 4y = f (x); a) f (x) = -2e4x; b) f (x) = excos4x