Question

calc question, just want explanation

Answer 1

OK, for this problem, I guide you only, deal?

Answer 2

deal

Answer 3

\(\large e^{2x+3y}=?\)

Answer 4

hold on

Answer 5

Hint: \(\large e^{a+b}= e^a*e^b\)

Answer 6

need some hel when it comes to e to the x

Answer 7

oh ok thnxs

Answer 8

e^2x * e^3y?

Answer 9

I lost the connection. If I can't access, you follow the instruction:
isolate the term relates to y in the left hand side, the right hand side will include the term relate to x only. That's the process to "separation variable"

Answer 10

Yes, you are correct

Answer 11

now, isolate y in one side, x in another side

Answer 12

ok

Answer 13

\[\frac{dy}{dx}=e^{2x}*e^{3y}\]
Separate them
\[\frac{dy}{e^{3y}}=e^{2x}dx\]
Or it can be rewrite as
\[\large e^{-3y}dy = e^{2x}dx\]
Take integral both sides.

Answer 14

*re-written