Question

hi there
I have this differential equation

Answer 1

awsome

Answer 2

I think he is typing it up

Answer 3

awesome ,

Answer 4

\[solve : (1+x^2) \frac{ dy }{ dx } = \sqrt{32} where y(1)= 2\pi\]

Answer 5

where \[ y (1) = 2\pi\]

Answer 6

ok divide by 1+x^2

Answer 7

yes I know we should do it by separable

Answer 8

\[\left( \frac{ dy }{ dx } \right) = \frac{ 1 }{ 1+x^2 } \times \sqrt{32}\]

Answer 9

I need to no the formal because my teacher notes are not clear.

Answer 10

now multiply by dx

and integrate

Answer 11

pull the contant out the front

Answer 12

\[\left( \frac{ dy }{ dx } \right) = \frac{ 1 }{ 1+x^2 } \times \sqrt{32} \]
now integrate it and put y(1)=2 pie