Question

dy/dx=sinxcosy how to find y?

Answer 1

One way to do it is to get the dy on the same side as the y term and to get dx on the same side as the x term:
\[\frac{dy}{\cos(y)}=\sin(x)dx\]From here, you can integrate both sides. The right side is fairly straightforward, and we get
\[\int\limits{\frac{dy}{\cos(y)}}=\int\limits{\sin(x)dx}\]\[\int\limits{\frac{dy}{\cos(y)}}=-\cos(x)+K\]
Now for the left side, the reciprocal of the cosine is the secant, so we have
\[\int\limits{\sec(y)dy}=-\cos(x)+K\]
Integrate (if you need help with this integral, click here: http://math2.org/math/integrals/more/sec.htm)
\[\ln|\sec(y)+\tan(y)|=-\cos(x)+C\]
Solve for y, if your professor/teacher requires it.

Answer 2

sinxcosy+cosxsiny=1 Find dy/dx

Answer 3

sinxcosy+cosxsiny=1 Find dy/dx

Answer 4

sinxcosy=3cosxsiny find tany

Answer 5

Need help guys!

sinxcosy+cosxsiny=1 Find dy/dx

Answer 6

if sin(x+y)= sinxcosy + cosxsiny, find sin(π/2 + α)
Please explain answer

Answer 7

Find equations of the normal line to z=sinxcosy at (0, pi, 0).

Answer 8

find dy/dx by implicit differentiation for: sinx+cosy = sinxcosy

Answer 9

sinxcosy=1/2(sin(x+y)+sin(x-y))
true
false

Answer 10

sinxcosy=1/2(sin(x+y)+sin(x-y)
a.true
b.false

Answer 11

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Answer 13

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Answer 14

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Answer 19

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Answer 20

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Answer 21

Jerry had $1,018.00 in savings. Last week he spent $84.00 on a desk and $372.00 on a computer from his savings.

Answer 22

hey jay u should have a thing where u can see wat u sent