Solve Given Differential Equation by Undetermined Coefficients : y'' + 4y = 3sin(2x)
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y'' + 4y = 3sin(2x)
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Hi, here is the solution.
The Auxillary Eqation is d^2y/dx^2 +4y =0
(d^2/dx^2 +4)y =0
m^2 +4 =0 Where d^2/dx^2 = m
m^2 = -4
m = +/- sqrt(-4)
m = +/- sqrt(-1) sqrt(4)
m = +/- 2i [ since sqrt(-1) = i]
...
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