What is variable separable form and its example?

What is variable valency? Give two examples of elements showing variable valency.

Consider the differential equation (dy)/(dx)=(2a)/(y) with y(0)=2 . i . Write the given equation into variable separable form. ii . Integrate the variable separable form (i) . iii . Get the value of the arbitrary constant using y(0)=2 of (ii) . iv . Write the solution of the differential equation.

What is a variable resistance ? Give one example of it.

Variable Separable and Homogeneous

The differential equation (dy)/(dx)=(x+y-1)/(x+y+1) reduces to variable separable form by making the substitution

The differential equation (dy)/(dx)=(x+y-1)/(x+y+1) reduces to variable separable form by making the substitution

Show that any equation of the form yf(xy)dx+xg(xy)dy=0 can be converted to variable separable form by substitution xy=v .

What is meant by state variable ? Give example