solve the IVP y"+2y'+17y=0.y(0)=1,y'(0)=-1Thanks in advance.Show transcribed image text y'' + 2y' + 17y = 0, y(0) = 1, y'(0) = - 1

Rivka Thorpe 2020-12-27 Answered

solve the IVP y"+2y+17y=0.y(0)=1,y(0)=1
Thanks in advance.
 

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liingliing8
Answered 2020-12-28 Author has 95 answers

The characteristic equation is r2+2r+17=0
The roots of characteristic equation are : 1±4i
Then the general solution of homogeneous equation is :.........(i)
Then y(0)=c1etcos4t4c1etsin4tc2etsin4t4c2etcos4t .......(ii)
Using initial values in (i) and (ii), find c1 and c2 and then write the general solution.

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