1. Find the general solution of the differential equation.
1.1 a) y + 4y = 0; b) y- 10y + 25y = 0; a) y + 3y + 2y = 0
2. Find the general solution of the differential equation.
2.1 y + y = 2x - 1
3. Find the general solution of the differential equation.
3.1 y - 8y + 17y = 10e2x
4. Find a particular solution of the differential equation that satisfies the given initial conditions.
4.1 y - 2y + y = -12cos2x - 9sin2x, y (0) = -2, y (0) = 0
5. Identify and record the structure of a particular solution y * linear inhomogeneous differential equation of form of the function f (x)
5.1 2y - 7y + 3y = f (x); a) f (x) = (2x + 1) e3x; b) f (x) = cos3x
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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