2
$\begingroup$

I'd like to clean up the result I obtained from an inverse Laplace transform: enter image description here

First of all, I'd like to replace the square root expressions in the hyperbolic function arguments (part encircled in green) by an angular frequency expression, i.e. I want to replace the expression

Sqrt[-Ld2-Ld3]/(Sqrt[Cr]*Sqrt[Ld2]*Sqrt[Ld3])

with a variable "w0". Similarly, I want to replace the whole "amplitude" (part encircled in red) of the expression with a simple variable named "Z".

How do I do that? I'm actually looking for some way specify equations for w0 and Z and make Mathematica search for the required parts in the equation itself, i.e. I'd like to specify

w0 = 1/Sqrt[Cr * Ld2*Ld3/(Ld2+Ld3)]

and Mathematica should be able to extract the required parts from the trigonometric function arguments itself and replace them. Not sure if that's possible at all though.

As a second step I want to get rid of the hypberbolic sine and cosine functions that currently have imaginary arguments and would like to use nonhyperbolic sine and cosine terms. Is there a way to get rid of them?

Improve this question
$\endgroup$
1
  • 1
    $\begingroup$ Try something like ` .../. 1/Sqrt[Cr * Ld2*Ld3/(Ld2+Ld3)]->w0` $\endgroup$ Commented Jun 30, 2022 at 8:55

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Start asking to get answers

Find the answer to your question by asking.

Ask question

Explore related questions

See similar questions with these tags.