Consider the differential equation `dy/dx+ytanx=x^2cos^2x`. Solve the differential equation.

Consider the differential equation dy/(dx)+y= cos(e^x) . Solve the differential equation.

Consider the differential equation dy/dx =4xy. Solve the differential equation given y(0)=1.

Consider the differential equation dy/dx=(x+y)/x Solve the above given differential equation.

Consider the differential equation xdy-ydx=sqrt(x^2+y^2)dx Solve the above differential equation.

Solve the differential equation xdy/dx+y=1/x^2 .

Consider the differential equation dy/dx+ytanx=x^2cos^2x . Find its integrating factor.

Consider the differential equation dy/dx=(x+y)/x Write the order of the differential equation.

Consider the differential equation (x^2-y^2)dx+2xydy=0 . Show that the differential equation is homogeneous.

Consider the differential equation (dy)/(dx) + y tan x = sec x Find the I.F.

Consider the differential equation (dy)/(dx) + y tan x = sec x Find the general solution of the given equation.