Question

Solve the differential equation dq/dz = 2 + sin(z) with initial condition q(π) = 2π

Answer 1

Dibs

Answer 2

you got it!

Answer 3

\[dq = 2+\sin(z) dz \implies \int\limits dq = \int\limits (2+\sin(z)) dz\]

Answer 4

separable*

Answer 5

Integrate it now

Answer 6

alright so i got the portion with 2z-cos(z)

Answer 7

However im missing something

Answer 8

\[q = 2z-cosz+C\]

Answer 9

Solve for the constant C using your initial conditions

Answer 10

Thanks!

Answer 11

Yw :)

Answer 12

Im probably going to have a lot more questions coming too I hate finals!

Answer 13

Haha, awesome! :P

Answer 14

separable are one of my fav questions