calculus
posted by theo on .
Calculate dy/dt using the given information.
(x+y)/(xy)= x^2 + y^2; dx/dt = 12, x = 1, y = 0

multipy both sides by (xy)
x+y=x^3 yx^2xy^2y^3 check that.
dx/dt+dy/dt= 3x^2 dx/dt2yx dx/dtx^2dy/dty^2dx/dt3y^2 dy/dt
gather terms....
dx/dt(13x^2+2yx+3y^2)=dy/dt (1x^23y^2)
check that carefully, it is easy to make an error in sign.
solve for dy/dt