Find Laplace transform for x"-3x'+2x=1-e^{2t}

e1s2kat26 2021-02-01 Answered
Find Laplace transform for
x"3x+2x=1e2t
You can still ask an expert for help

Want to know more about Laplace transform?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

2abehn
Answered 2021-02-02 Author has 88 answers
Step 1
given equation
x"3x+2x=1e2t
by assuming that initial condition is zero.
x"=s2X(s)
and x=sX(s)
and laplace transform of 1e2t is 1s1s2=s2ss(s2)=2s22s
Step 2
put the calculated values in the above equation
s2X(s)3sX(s)+2X(s)=2s22s
X(s)(s23s+2)=2s22s
X(s)=2(s22s)(s23s+2)
the X(s)=2(s22s)(s23s+2) is the required laplace transform.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more