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# Implicit differentitation

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Solve the differential equation dy/dx = sin^2x/y^2 which also satisfies y = 1 when x = 0
2. you need to separate the variables then integrate. you will get one constant of integration which you then find by using the last piece of information.
3. (Original post by the bear)
you need to separate the variables then integrate. you will get one constant of integration which you then find by using the last piece of information.
I have tried to do:
integral (y^2) dy = (y^3)/3
and equate it to integral (sin^2(x)dx) but I don't know how to integrate sin^2(x). I tried to use the integration by parts equation but I kept on repeating the same integration
4. (Original post by Shinjimonkey)
I have tried to do:
integral (y^2) dy = (y^3)/3
and equate it to integral (sin^2(x)dx) but I don't know how to integrate sin^2(x). I tried to use the integration by parts equation but I kept on repeating the same integration
Try using a double angle formula to convert sin^2(x) into something including cos(2x)

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Updated: September 28, 2016
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