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Mathematics 8 Online
OpenStudy (z4k4r1y4):

Show that x=Be^(µt) is a solution of mx ̈+kx=0

OpenStudy (irishboy123):

it's not. differentiate it.

OpenStudy (z4k4r1y4):

I know i differentiated it and didn't get the right answer.

OpenStudy (z4k4r1y4):

I've been given some more information: B=Ae^jϕ

OpenStudy (z4k4r1y4):

and µ=α+jω

OpenStudy (irishboy123):

better. but have you differentiated that?? it's suddenly become more complicated!

OpenStudy (z4k4r1y4):

I'm afraid to try, but i'll give it a go.

OpenStudy (irishboy123):

lol! \[x=B e^{µ t} \ : \ B=A e^{jϕ} \ \ : \ µ=α+j ω \\ x=A e^{jϕ} e^{(α+j ω) t}\] \[x = A e^{α t+j ( ω t + \phi ) }\] looks interesting!!

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