1. Find the general solution of the differential equation.
1.30 a) 9y- 6y + y = 0; b) y + 12y + 37y = 0; a) y- 2y = 0;
2. Find the general solution of the differential equation.
2.30 2y + 7y + 3y = 222sin3x
3. Find the general solution of the differential equation.
3.30 4y + 3y - y = 11cosx - 7sinx
4. Find a particular solution of the differential equation that satisfies the given initial conditions.
4.30 y- 4y = 8e2x, y (0) = 1, y (0) = -8
5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
5.30 y + 3y - 4y = f (x); a) f (x) = 6xe-x; b) f (x) = x2sin2x
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