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[" If "y=e^(ax)cos bx" prove that "y(2)-...

[" If "y=e^(ax)cos bx" prove that "y_(2)-2ay_(1)+(a^(2)+b^(2))y=0],[" Also prove that "y_(n+1)=2ay_(n)-(a^(2)+b^(2))y_(n-1)]

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If y=e^(ax)sin bx, then prove that y_(2)-2ay_(1)+(a^(2)+b^(2))y=0

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