Find the general solution of the differential equation:
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OpenStudy (anonymous):
\[\frac{ dr }{ dp }=4\sin p\]
OpenStudy (anonymous):
r=
OpenStudy (kainui):
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
OpenStudy (anonymous):
I must be doing something wrong I'm not getting the right answer and not sure where I'm going wrong
OpenStudy (kainui):
What's the right answer supposed to be?
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OpenStudy (anonymous):
I don't know, but nothing I've tried is right
OpenStudy (kainui):
Show me what you get when you solve the integral I just wrote out above.
OpenStudy (anonymous):
I don't see an integral
OpenStudy (kainui):
dr=4sinp dp
That is an indefinite integral without its fancy looking "S" shape.
OpenStudy (anonymous):
so the dr stands for the "S"?
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OpenStudy (anonymous):
Ok i figured it out thanks
OpenStudy (kainui):
No, dr stands for infinitesimally small. What level of calculus are you in?
OpenStudy (anonymous):
Given \(dr=4\sin p\;dp,\) you can antidifferentiate both sides to get
\(\int dr=\int 4\sin p\;dp.\)