Question

find general solution to;

dy/dx=cos2x

i got ...
y=sin2x?
...is this correct? help please :)

Answer 1

y(x) = c_1+sin(x) cos(x)

Answer 2

You almost got it except your missing a 1/2

Answer 3

where does the 1/2 come from?

Answer 4

that 1/2 would come from the u substiution you do when integrating cos2x

Answer 5

you want me to show you

Answer 6

yes please

Answer 7

Basically here we begin by separating the variable: