IDZ 11.3 - Option 15. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.15) y- 10y + 21y = 0; b) y- 2y + 2y = 0; a) y + 4y = 0

2. Find the general solution of the differential equation.
 2.15 y- 9y + 20y = 126e-2x

3. Find the general solution of the differential equation.
 3.15 y + 10y + 25y = 40 + 52x - 240x2 - 200x3

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.15 y + 2y + 5y = -8e-xsin2x, y (0) = 2, y (0) = 6

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.15 4y + 7y - 2y = f (x); a) f (x) = 3e-2x; b) f (x) = (x - 1) cos2x