Home
Class 12
MATHS
Identify the statement(s) which is/are t...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

Identify the statements (s) which is/are true.f(x,y)=e^((y)/(x))+tan(y)/(x) is homogeneous of degree zero.x,ln(y)/(x)dx+(y^(2))/(x)sin^(-1)(y)/(x)dy=0 is homogeneous of degree one f(x,y)=x^(2)+sin x.cos y is not homogeneous (x^(2)+y^(2))dx-(xy^(2)-y^(3))dy=0 is a homogeneous differential equation.

Show that the differential equation x cos (y/x)(dy)/(dx)= y cos (y/x)+x is homogeneous.

Prove that the equation x62(dy)/(dx)=x^2-2y^2+xy is a homogenous differential equation

Show that the differential equation (x e^((y)/(x)) + y) dx = x dy is homogeneous differential equation.

Show that the differential equation (x - y) (dy)/(dx) = x + 2y is homogeneous and solved it.

Show that the differential equation (x - y) (dy)/(dx) = x + 2y is homogeneous and solved it.

Show that the differential equation (x - y) (dy)/(dx) = x + 2y is homogeneous and solved it.

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