Question

Find the general solution of the differential equation:

Answer 1

\[\frac{ dr }{ dp }=4\sin p\]

Answer 2

r=

Answer 3

So what you can do is play with the differential as though it were a fraction and multiply both sides by "dp" to get:

dr=4sinp dp

Now integrate and don't forget +C

Answer 4

I must be doing something wrong I'm not getting the right answer and not sure where I'm going wrong

Answer 5

What's the right answer supposed to be?

Answer 6

I don't know, but nothing I've tried is right

Answer 7

Show me what you get when you solve the integral I just wrote out above.

Answer 8

I don't see an integral

Answer 9

dr=4sinp dp

That is an indefinite integral without its fancy looking "S" shape.

Answer 10

so the dr stands for the "S"?

Answer 11

Ok i figured it out thanks

Answer 12

No, dr stands for infinitesimally small. What level of calculus are you in?

Answer 13

Given \(dr=4\sin p\;dp,\) you can antidifferentiate both sides to get
\(\int dr=\int 4\sin p\;dp.\)