differentiation OF term F(xy) +Y.y(x.y)

Differentiate y=tanx

Solution of the differential equation (y+x sqrt(xy)(x+y))dx+(y sqrt(xy)(x+y)-x)dy=0 is

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation (xy^(4)+y)dx-xdy=0 is

f any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C Solution of differential equation (2xcosy+y^(2)cosx)dx+(2ysinx-x^(2)siny)dy=0 is

If any differentisl equation in the form f(f_(1)(x,y)d(f_(1)(x,y)+phi(f_(2)(x,y)d(f_(2)(x,y))+....=0 then each term can be intergrated separately. For example, intsinxyd(xy)+int((x)/(y))d((x)/(y))=-cos xy+(1)/(2)((x)/(y))^(2)+C The solution of the differential equation xdy-ydx=sqrt(x^(2)-y^(2))dx is

If (dy)/(dx)=(xy+y)/(xy+x), then the solution of the differential equation is (A) y=xe^(x)+c(B)y=e^(x)+c(C)y=Axe^(x-y)(D)y=x+A

The differential equation of the form (d^(2)y)/(dx^(2))=f(y) is ...

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Find the order and degree,if defined,of each of the following differential equations: ( i ) (dy)/(dx)-cos x=0 (ii) xy(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-y(dy)/(dx)=0 (iii) y''+y^(2)+e^(y')=0