What is the particular solution to the differential equation dy/dx =3 cos(x)y with the initial condition y(pi/2)=-2?

Question

formative homework help plz

What is the particular solution to the differential equation dy/dx =3 cos(x)y with the initial condition y(pi/2)=-2?

Given the differential equation dy/dx=-x/y^2 find the particular solution, y=f(x) , with the initial condition f(−6) = −3 .

Answer 1

The variables are separable in each of these.

I will start the first one for you...you work on the rest and make a specific comment if you have a problem.

dy/y = 3 cos x dx

ln y = 3 sin x + C