Solve Laplace Inverse for s2/((s2-1)(s-1)2)

  • Thread starter Thread starter physicsnewb7
  • Start date Start date
  • Tags Tags
    Inverse Laplace
physicsnewb7
Messages
42
Reaction score
0

Homework Statement


s2/((s2-1)(s-1)2)



Homework Equations


laplace tables


The Attempt at a Solution



I attempted the shifting method and also partial fraction method but efforts were fruitless
 
Physics news on Phys.org
Show us what you got from those efforts because that approach will work.
 
which one?
 
You can use both concepts in finding the solution, but you should start with partial fractions to separate it into simpler pieces.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

What is the Inverse Laplace Transform of e^(-sx^2/2)?
Replies
10
Views
2K
Unsure about Inverse Laplace Heaviside Function question
Replies
5
Views
2K
How to solve this problem using laplace transform?
Replies
4
Views
3K
Inverse laplace transform without partial fractions
Replies
2
Views
3K
A tricky inverse Laplace transform
Replies
8
Views
2K
Inverse Laplace transform for an irreducible quadratic?
Replies
2
Views
3K
Laplace transform applied to a differential equation
Replies
1
Views
1K
How Do You Select Sigma for Different Regions in Inverse Laplace Transforms?
Replies
5
Views
2K
Are these two inverse Laplace transform solutions equivalent?
Replies
2
Views
2K
Which inverse Laplace form can I use?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top