Identify the statements (s) which is/are true. `f(x , y)=e^(y/x)+tany/x` is homogeneous of degree zero. `x ,ln y/xdx+(y^2)/xs in^(-1)y/xdy=0` is homogeneous of degree one `f(x ,y)=x^2+sinxdotcosy` is not homogeneous `(x^2+y^2)dx-(x y^2-y^3)dy=0` is a homogeneous differential equation.

Identify the statement(s) which is/are true. (a) f( x , y )= e^( y/ x )+tan y/ x is a homogeneous of degree zero. (b) xln y/ x dx+ y^(2)/ x *sin^-1(y/ x ) dy=0 is a homogeneous differential equation. (c)f( x ,y )= x^(2)+sinx cosy is a non homogeneous. (d)( x^(2)+ y^(2))dx-(x y^(2)-y^(3))dy=0 is a homogeneous differential equation.

f(x,y)=(1)/(x+y) is a homogeneous function of degree

Is the function f(x, y) = sin x + cos y homogeneous ?

Show that the differential equation xylog(y/x)dx+{y^(2)-x^(2)log(y/x)}dy=0 is homogeneous and solve it.

Show that the differential equation (x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 is homogeneous and solve it.

Show that the differential equation y^(2)dx+(x^(2)-xy+y^(2))dy=0 is homogenous and solve it.

What is the degree of homogenous f(x,y)=e^((y)/(x))+tan((y)/(x))?

Show that the differential equation y^(3)dy-(x+y^(2))dx=0 can be reduced to a homogenous equation.

Reduce the equation y^3dy+(x+y^2)dx=0 to a homogeneous equation and then solve it.