For y''+12y'+36y=8t2*e-6t The general solution is yh=c1*e-6t+c2*t*e-6t A) find the particular solution in general form  B) suppose the roots for a (th order linear homogeneous ODE are; -7,-7,-7,0,0,8+or-9i,8+or-9i. write the general solution C) x'=(1/2)y, y'=-50x. Change the system into a linear homogeneous equation for x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For y''+12y'+36y=8t2*e-6t

The general solution is yh=c1*e-6t+c2*t*e-6t

A) find the particular solution in general form 

B) suppose the roots for a (th order linear homogeneous ODE are; -7,-7,-7,0,0,8+or-9i,8+or-9i. write the general solution

C) x'=(1/2)y, y'=-50x. Change the system into a linear homogeneous equation for x

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