# Find the value of #n# for which the equation #(n-1)^(2)u_{x x}-y^(2n)u _{yy}=ny^(2n-1)u_y# is parabolic or hyperbolic?

##### 1 Answer

Aug 12, 2018

#### Answer:

See below.

#### Explanation:

Given a second order PDE

according to the sign of

we qualify the PDE hence

which for

In those conditions the PDE is of hyperbolic kind otherwise is parabolic.