SOLUTION: Verify that the given function satisfies the differential equation y= Euler^x sin3x And y= y'' - 2y' + 10y = 0

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Question 857427: Verify that the given function satisfies the differential equation
y= Euler^x sin3x
And
y= y'' - 2y' + 10y = 0
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I think you typoed there -- y is not equal to 0.

Just compute y' and y'' (it should not be hard with product rule since you already have the function y, it'll just be a lot of computation which I will not waste my time doing). Substitute y, y' and y'' and check that the resulting equation holds for all x.