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.

- February 26th 2010, 05:18 PMzaboomafoo23Show that a given function satisfies a differential equation.
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. - February 26th 2010, 07:08 PMProve It