What is the Laplace Transform of f(x)=e^{bx}.sin ax?

roshan2004
Messages
140
Reaction score
0
What is the Laplace Transform of f(x)=e^{bx}.sin ax?
 
Physics news on Phys.org
http://www.wolframalpha.com/input/?i=laplace+transform+of+e^{bx}+sin+ax
 
hamster143 said:
http://www.wolframalpha.com/input/?i=laplace+transform+of+e^{bx}+sin+ax
Yes,I have already tried it, but I want to know the process as well.
 
You write down the integral as \int e^{(b-s)x} sin ax dx and integrate by parts twice.
 
Or you write sin(ax) = (eiax - e-iax)/2i, which is far easier.
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

I Solving ODE with Laplace transform and Existence and Uniqueness Theorem
Replies
19
Views
2K
I Laplace transform of a simple equation (Simple question)
Replies
4
Views
2K
A Applying the Laplace transform to solve Differential equations
Replies
5
Views
3K
A Laplace transform of derivatives
Replies
6
Views
2K
I Understanding the Laplace Transform of cos(t)/t
Replies
7
Views
5K
I On Laplace transform of derivative
Replies
17
Views
3K
I On a bijective Laplace transform
Replies
1
Views
3K
I Laplace transform linearity problem
Replies
2
Views
2K
I Solving a differential equation using Laplace transform
Replies
5
Views
3K
I Laplace Transform of Sign() or sgn() functions
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top