Given `y dx-xdy+(logx)dx=0` Express the given equation in the form `dy/dx+Py=Q`.

Consider xlogxdy/dx+y=2/xlogx , x>0 Express the equation in the form dy/dx+Py=Q .

Given y dx-xdy+(logx)dx=0 Solve the given differential equation.

Given y dx-xdy+(logx)dx=0 Find the integrating factor.

Consider (1+y^2)dx=(tan^-1y-x)dy Express the equation in the form dx/dy+Px=Q

Given (1+e^(x//y))dx+e^(x//y)(1-x/y)dy=0 Express the differential equation as dx/dy = A function of (x/y) .

Consider the DE xdy-ydx=sqrt(x^2+y^2)dx Express it in the form dy/dx=F(x,y)

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

Consider the differential equation 3e^xtan y dx-(1+e^x)sec^2 y dy=0 Express the differential equation in variable separable form.

Consider (1+y^2)dx=(tan^-1y-x)dy Solve the given equation.

The second derivative of the equation of a curve is given by the equation x(d^2y)/(dx^2)=1 , given by y=1, dy/dx=0 when x=1.Find the equation of the normal at x=e.