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Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show the...

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Advance Math

Use the method of Undetermined Coefficients to find a generalsolution of this system X=(x,y)^T

Show the details of your work:

x' = 6 y + 9 t
y' = -6 x + 5

Note answer is:  x=A cos 4t + B sin 4t +75/36; y=B cos6t - A sin 6t -15/6 t

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