How many variables is v a function of?
Integrate the following integral using separation of variables :
v_{x} = (1/3)v -(8/9) (v_{x} is the partial derivative of v w.r.t x) and v is a function of two variables.
Can someone please show me the steps involved for separating the variables for this question ?
Please Help.
Since y does not appear in the equation, treat as an equation in x only.
Integrating
where the "constant of integration" can be any function of y only.
We can solve that for
where, since f(y) can be an arbitrary function of y, is also an arbitrary function of y.