hw help: [-(L_Y I_1)/((1 - C_1) L_i + I_1 L_Y) I_2 d epsilon^I = ...

[flash237]

Hi
Does anyone know how this can be done?

. . . . .\(\displaystyle \left[ - \dfrac{\tilde{L}_Y\, I_1}{(1\, -\, C_1)\, \tilde{L}_i\, +\, I_1\, \tilde{L}_Y}\, +\, 1\right]\, \large{I_2\, d\, \epsilon^I}\)\(\displaystyle \, =\, \dfrac{1}{ \left(1\, +\, \dfrac{I_1\, \tilde{L}_Y}{(1\, -\, C_1)\, \tilde{L}_i}\right)}\, \large{I_2\, d\, \epsilon^I}\)

I can get to (-(LyI1)/(1-c)(Li) + 1) but I feel like this is in the wrong direction. Any help would be appreciated.

 

[tkhunny]

You have not stated what it is you are trying to do.

 

[Dr.Peterson]

Hi
Does anyone know how this can be done?

. . . . .\(\displaystyle \left[ - \dfrac{\tilde{L}_Y\, I_1}{(1\, -\, C_1)\, \tilde{L}_i\, +\, I_1\, \tilde{L}_Y}\, +\, 1\right]\, \large{I_2\, d\, \epsilon^I}\)\(\displaystyle \, =\, \dfrac{1}{ \left(1\, +\, \dfrac{I_1\, \tilde{L}_Y}{(1\, -\, C_1)\, \tilde{L}_i}\right)}\, \large{I_2\, d\, \epsilon^I}\)

I can get to (-(LyI1)/(1-c)(Li) + 1) but I feel like this is in the wrong direction. Any help would be appreciated.

I presume what you are asking is how to transform the left side to the right side.

You need to combine the fraction and 1 using a common denominator. So rewrite 1 as [...]/[...] where the numerator and denominator are the denominator of the fraction, then combine. Terms should cancel in the numerator.

If you need more help, please show your work as far as you get, so we can see what the next step is that you need help with.

 

[stapel]

Does anyone know how this can be done?

. . . . .\(\displaystyle \left[ - \dfrac{\tilde{L}_Y\, I_1}{(1\, -\, C_1)\, \tilde{L}_i\, +\, I_1\, \tilde{L}_Y}\, +\, 1\right]\, \large{I_2\, d\, \epsilon^I}\)\(\displaystyle \, =\, \dfrac{1}{ \left(1\, +\, \dfrac{I_1\, \tilde{L}_Y}{(1\, -\, C_1)\, \tilde{L}_i}\right)}\, \large{I_2\, d\, \epsilon^I}\)

I can get to (-(LyI1)/(1-c)(Li) + 1) but I feel like this is in the wrong direction. Any help would be appreciated.

When you reply, please include a clear listing of your steps so far (from the given equation to what you "can get to"), along with definitions of the variables and how they relate (if at all), and how this is supposed to use the tools and techniques of calculus. Thank you!