Question

Calculus: Integrals, antiderivatives, and Solving Differential Equations Symbolically:Separation of variables.
y'=2xsecy
solve for y

Answer 1

http://www.wolframalpha.com/input/?i=y%27%3D2xsecy

Answer 2

\[\frac{dy}{sec{y}}=2x dx\]
\[\int cos(y)dy=\int 2xdx\]
\[sin {y} = x^2 +c\]
\[y=sin^{-1}{x^2+c}\]

Answer 3

wait how do you get from step one to step two?

Answer 4

\[\frac{1}{sec{y}}=cos{y}\] It's a trig identity

http://en.wikipedia.org/wiki/Trigonometric_functions

Answer 5

oh! okay thank you so much :))