differentiation of function inside another function

u=

where

and n are constants.

How to calculate the value of

Answer 1

[Alan Stevens]

Use the chain rule!

[Maths Maths]

can you write code for this alone sir

[Alan Stevens]

No. I don't have the Symbolic toolbox.

[Maths Maths]

it's k sir.F(s,u)=

how to calculate the inverse transform of this transformation sir

[Walter Roberson]

That looks like it is closely related to a Laplace transform -- it would be the Laplace transform for the case of u = 1.

Under the assumption that s and u are both > 0 then you can probably relate it to the Laplace transform.

[Maths Maths]

Yes sir it is closely related to laplace transform we have relation between these 2 transformations i.e

where is laplace transform.

But i don't know how to write code for this transformation in matlab. If anyone knows please help me.

[Walter Roberson]

Use the symbolic toolbox and laplace() or ilaplace()

[Maths Maths]

sir i know these built in functions i need to calculate F(s,u) and inverse transform of F(s,u).

This is new integral transformation.

F(s,u) is shehu transform.we don't have built in functions for this

[Walter Roberson]

F = @(s,u) laplace(s/u);

I do not believe that there is a unique inverse for F(s,u) unless u is given explicitly

[Maths Maths]

and

and

S is shehu transformation. i solved it manually using the formula of F(s,u) it is giving same results but i don't know how to calculate these things in manually.