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Gemiola [76]
3 years ago
15

What is the integral of y'sinx=ylny ...?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0
Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and  </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx) 
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is   lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x
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