Laplace transform with Heaviside function

[ptrinka]

Hello,

I am searching for the Laplace transform of this function

$$u_a(y)\frac{\partial c(t)}{\partial t}$$

where $$u_a(y)$$ is the Heaviside step function (a>0).

Can anyone help me?

Thanks in advance! Paolo

 

[pasmith]

Hello,

I am searching for the Laplace transform of this function

$$u_a(y)\frac{\partial c(t)}{\partial t}$$

where $$u_a(y)$$ is the Heaviside step function (a>0).

Can anyone help me?

Thanks in advance! Paolo

Laplace transform with respect to which variable?

 

[ptrinka]

With respect to c(t).

 

[ptrinka]

Actually, I realized that there is an error in the equation. The correct equation is as follows:

$$u_a(t)\frac{\partial{c(t)}}{\partial t}$$

i.e. u_a is a function of t and NOT y.

Sorry for the mistake!