IDZ 11.3 - Option 19. Decisions Ryabushko AP

1. Find the general solution of the differential equation.
 And 1.19) y- 3y- 4y = 0; b) y + 6y + 13y = 0; a) y + 2y = 0

2. Find the general solution of the differential equation.
 2.19 y + 6y + 13y = -75sin2x

3. Find the general solution of the differential equation.
 3.19 y - 4y = (-24x - 10) e2x

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
 4.19 y + 8y + 16y = 16x3 + 24x2 - 10x + 8, y (0) = 1, y (0) = 3

5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
 5.19 y- 2y + 2y = f (x); a) f (x) = (2x - 3) e4x; b) f (x) = exsinx