Question

How to solve this equation with partial differentiation !

Answer 1

sorry dude.... incorrect questions so according to your questions all the answers are 0

Answer 2

I'm assuming E is a function of z and t

Answer 3

should i assume this iwanbah?

Answer 4

@myininaya u can't change the question dude

Answer 5

i'm not changing the question

Answer 6

i'm asking for details

Answer 7

yes, E is a function of z and t

Answer 8

Pretend we have
\[f(x,y)=xy => f_x=y \text{ & } f_y=x\]
\[E(z,t)=\frac{G(z,t)}{F(z,t)}\]

\[E_z=\frac{G_zF-F_zG}{F^2}\]

Answer 9

\[E_t=\frac{G_tF-F_tG}{F^2}\]

Answer 10

\[E_{ t t}=\frac{(G_tF-F_tG)_tF^2-(F^2)_t(G_tF-F_tG)}{F^4}\]
\[=\frac{[G_{t t}F+G_tF_t-(F_{t t} G+F_tG_t)]F^2-2FF_t(G_tF-F_tG)}{F^4}\]
\[=\frac{[G_{ t t}F-F_{t t } G]F^2-2F^2F_tG_t+2F(F_t)^2G}{F^4}\]
\[=\frac{G_{ t t} F^3-F^2 F_{t t} G-2F^2F_tG_t+2F(F_t)^2G}{F^4}\]

Answer 11

Thanks