ИДЗ 11.3 – Вариант 9. Решения Рябушко А.П.

1. Find the general solution of the differential equation.
  1.9 a) y + 7y = 0; b) y- 5y + 4y = 0; a) y + 16y = 0

2. Find the general solution of the differential equation.
  2.9 y - 3y + 2y = 3cosx + 19sinx

3. Find the general solution of the differential equation.
  3.9 y - 2y + y = 4ex

4. Find a particular solution of the differential equation that satisfies the given initial conditions.
  4.9 y + y = x3 - 4x2 + 7x - 10, y (0) = 2, 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)
  5.9 y- y + y = f (x); a) f (x) = excosx; b) f (x) = 7x + 2

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