Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations

Solved Example Problems based on Formation of p.d.e by elimination of arbitrary functions

Partial Differential Equations

Home | All Subjects | CIVIL Department | Transforms and Partial Differential Equations
Next >>

Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations: Exercise

Problems based on Formation of p.d.e by elimination of arbitrary functions

b) Case (ii) a.f 2, p.d.e order = 2

 

Example 1.2(b) (1): Form the p.d.e. by eliminating the arbitrary functions f andϕfrom z  = f (x + ct) + ϕ (x − ct).


 

Example 1.2(b) (2): Form the p.d.e. by eliminating f and ϕ from z  = f (y) + ϕ (x + y + z).



Example 1.2(b) (3): Eliminate the arbitrary functions f and g from z= f(x+ iy) + g(x-iy) to obtain a partial differential equation involving z, x, y.


 

Example 1.2(b)(4): Form the p.d.e. by eliminating f and ϕ from 

 

Example 1.2(b) (5): Form the differential equation by eliminating the arbitrary functions ƒ and g in z = f (x3 +2y) + g(x3 − 2y)


 

Example 1.2(b)(6) : Form the partial differential equation by eliminating the arbitrary functions f and g in z = x2f(y) + y2 g(x).


Example 1.2(b) (7): Obtain the partial differential equation by eliminating f and g from z = f(2x + y) + g (3x - y).


 

Example 1.2(b) (8): Form a partial differential equation by eliminating arbitrary functions from z = = xf (2x + y) + g (2x + y).

Solution :


Transforms And Partial Differential Equations: UNIT I: Partial Differential Equations : Tag: : Partial Differential Equations - Solved Example Problems based on Formation of p.d.e by elimination of arbitrary functions

Home | All Subjects | CIVIL Department | UNIT: Transforms and Partial Differential Equations
Next >>

Related Topics


Partial Differential Equations - Introduction

Formation of partial differential equations by elimination of arbitrary Constants

Problems based on formation of p.d.e by elimination of arbitrary constants (a.c.) - Partial Differential Equations

Exercise [formation of P.D.E by elimination of arbitrary constants (a.c.)] - Partial Differential Equations

Formation of partial differential equations by elimination of arbitrary functions

Solved Example Problems based on formation of p.d.e by elimination of arbitrary functions - Partial Differential Equations

Exercise [formation of p.d.e by elimination of arbitrary functions] - Partial Differential Equations

Solved Example Problems based on Formation of p.d.e by elimination of arbitrary functions - Partial Differential Equations

Exercise [Form the p.d.e by eliminating the arbitrary functions] - Partial Differential Equations

Singular Integrals - Solution of Standard Types of First Order Partial Differential Equations - Partial Differential Equations

Exercise [partial differential equation]

Methods to solve the first order partial differential equation

Solved Example Problems based on First order Partial Differential Equations (p.d.e)

Exercise [First order Partial Differential Equations]

Solved Example Problems based on Type 2 Clairaut's form z = = px + qy + f (p, q) - Partial Differential Equations

Related Subjects


Transforms and Partial Differential Equations

Transforms and Partial Differential Equations

MA3351 3rd semester civil, Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation