IDZ 11.3 - Option 5. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.5) y- 2y + 10y = 0; b) y + y - 2y = 0; a) y- 2y = 0.

2. Find the general solution of the differential equation.
 2.5 y - 3y + 2y = (34 - 12x) e-x

3. Find the general solution of the differential equation.
 3.5 y- 6y + 34y = 18cos5x + 60sin5x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.5 y- 14y + 53y = 53x3 - 42x2 + 59x - 14, y (0) = 0, 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)
 5.5 y + 49y = f (x); a) f (x) = x3 + 4x; b) f (x) = 3sin7x