Convert the differential equation u''-u'-2u=e^{-5t} into a system of first

piarepm 2022-01-21 Answered

Convert the differential equation uu2u=e5t into a system of first order equations by letting x=u, y=u'
x=?
y=?

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Expert Answer

Archie Jones
Answered 2022-01-21 Author has 34 answers
Given uu2u=e5t
Suppose x=u, y=u',
x'=u' and y'=u''
  x=y and y=u+2u+e5t+2u+e5t    uu2u=e5t  u=u
 x=y and y=y+2x+e5t    u=yandu=x
Therefore, the system of first order differential equations is,
Answer:
x'=y
y=y+2x+e5t
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