Complex Variables and Partial Differential Equations (3130005)

Question-4b-OR

BE | Semester-3 Summer-2020 | 27-10-2020

Q4) (b)

Form the partial differential equation by eliminating arbitrary function $\emptyset$ from $z = \emptyset (\frac{y}{x})$ .

Here,

z = \emptyset (\frac{y}{x})

\Rightarrow \frac{\partial z}{\partial x} = \emptyset' (\frac{y}{x}) (- \frac{y}{x^{2}}) \Rightarrow p = \emptyset' (\frac{y}{x}) (- \frac{y}{x^{2}}) - - - - - [1]

\Rightarrow \frac{\partial z}{\partial y} = \emptyset' (\frac{y}{x}) (\frac{1}{x}) \Rightarrow q = \emptyset' (\frac{y}{x}) (\frac{1}{x}) - - - - - [2]

[1] \div [2] \Rightarrow \frac{p}{q} = \frac{y}{x}

Questions

Go to Question Paper