Show that the function y=e^(ax) sin(bx) satisfies the equation: y’’ — 2ay’ + (a2 + b2)y = 0 for any real constants a and b Any idea on how to solve this? Any help is appreciated.
Last edited by mr fantastic; Feb 26th 2010 at 06:24 PM. Reason: Changed post title
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Originally Posted by zaboomafoo23 Show that the function y=e^(ax) sin(bx) satisfies the equation: y’’ — 2ay’ + (a2 + b2)y = 0 for any real constants a and b Any idea on how to solve this? Any help is appreciated. . Now that you have and its derivatives, substitute them into the DE and see if you get what you are told you should get...
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