posted by Amy
I posted this below, and no one answered. Please help with this very complicated question! Using 3(x-3)(x^2-6x+23)^1/2, as the chain rule differentiation of f(x)=(x^2-6x+23). Please explain how I find the general solution to the differential equation dy/dx= 2/27(x-3)SQUARE ROOT BEGINS (x^2-6x+23)/y SQUARE ROOT ENDS (y>0), giving answer in implicit form. I need details! Many thanks.
Separate the variables:
Let z=x^2-6x+23, then dz=(x^2-6x+23)'dx=
Integrating both sides gives