type of partial differential equations?

> Given the second order non linear BVP

>

> (ƒ')^n = 1 + γ θ …..……………………… 1

>

> θ" + (λ +n+1/ 2n +1) ƒ θ' - n (2 λ +1/2n+ 1) * ƒ' θ = 0 ………… 2

>

> Prime in the above eqn’s describe partial differentiation with respect to η

>

> Boundary conditions are

> ƒ (0) = 0, θ'(0) = -1

> ƒ' (∞) = 0, θ(∞) = 0

>

> can anyone help me in deciding what type of partial differential equations are these

> i mean elliptic or parabolic or hyperbolic pde's and how to solve them(Headbang)(Headbang)

type of partial differential equations

Given the second order non linear BVP

(ƒ')^n = 1 + γ θ …..……………………… 1

θ" + (λ +n+1/ 2n +1) ƒ θ' - n (2 λ +1/2n+ 1) * ƒ' θ = 0 ………… 2

Prime in the above eqn’s describe partial differentiation with respect to η

Boundary conditions are

ƒ (0) = 0, θ'(0) = -1

ƒ' (∞) = 0, θ(∞) = 0

where η is a function of x & y given by

Similarity variable, η = x **^ **(λ-n/2n+1) * y

Θ is a dimensionless temperature

ƒ is a dimensionless stream function given by

Stream function, ψ = x **^** (λ+n+1/2n+1) * ƒ(η)

how to solve the above system of eqn’s

i am sorry that last time i did not mention about waht is η

solving non linear PDE's in fluid mechanics

Given the second order non linear BVP

(ƒ')^n = 1 + γ θ …..……………………… 1

θ" + (λ +n+1/ 2n +1) ƒ θ' - n (2 λ +1/2n+ 1) * ƒ' θ = 0 ………… 2

Prime in the above eqn’s describe partial differentiation with respect to η

Boundary conditions are

ƒ (0) = 0, θ'(0) = -1

ƒ' (∞) = 0, θ(∞) = 0

where η is a function of x & y given by

Similarity variable, η = x ^ (λ-n/2n+1) * y

Θ is a dimensionless temperature

ƒ is a dimensionless stream function given by

Stream function, ψ = x ^ (λ+n+1/2n+1) * ƒ(η)

how to solve the above system of PD eqn’s

the above system of equations are related to mixed convection of non newtonian fluids