Purchase Solution

The Transformation of Partial Differential Equation

Not what you're looking for?

Ask Custom Question

Using the chain rule of partial differentiation, to show that the differential equation              
       Au_xx + Bu_xy +  Cu_yy + Du_x + Eu_y + Fu = G        
  transforms into the differential equation             
       A' u_,aa + B'u_bb + C'u_cc + Du_a + Eu_b + Fu = G                    

   The complete problem is in the attached file.

Attachments
Purchase this Solution
Solution Summary

This solution explains the transformation of the partial differential equation into a new partial differential equation by changing the variables.The solution is given in detail. This is mainly for finding the solution of partial differential equation.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Transforming Partial Differential Equations

    The solution is in the attached file. This solution explains the transformation of the partial differential equation into a new partial differential equation by changing the variables. The solution is given in detail.

  • Initial-Value Problem involving Graph, Lapace Transformations and Partial Fractions

    Solve the following differential equation: y"-3y'+2y=g(t) y(0)=1 y'(0)=0 Please see the attached file for the complete solution. Thanks for using BrainMass.

  • Non-Homogeneous Linear Partial Differential Equation

    It contains step-by-step explanation for finding the solution of the equation (D2 - D'2 + D - D')z = e^(2x + 2y). Solution also contains definition of the Non- Homogeneous Linear Partial Differential Equation with Constant Coefficients.

  • Linear Homogeneous Partial Differential Equation

    14958 It is an explanation for solving homogeneous linear partial differential equation. Find the General solutions of the equations r = a2t and (D + D')z = sin x.

  • ordinary differential equations

    Partial differential equations are classified into one of three types: parabolic, elliptic, or hyperbolic. The classic example of a parabolic equation is the heat equation. The classic example of an elliptic equation is the Laplace equation.

  • Partial Differential Equations

    30092 Partial Differential Equations See Attached Show that satisfies the partial differential equation Note: 1- are constants 2- 3- show does not mean solve the pde Please see the attached file for the complete

  • Characteristic curves

    Solution: Since the partial differential equation (PDE) admits real characteristics, then it will be of hyperbolic type, that is: ( 1) According to the theory, the corresponding equation of the characteristic curves is expressed by

  • Quasi-Linear Partial Differential Equation

    155566 Quasi-Linear Partial Differential Equation Show that the solution u of the quasi-linear partial differential equation u_y + a(u)u_x = 0. With initial condition u(x,0) = h(x) is given implicitly by u(x,y) = h(x-a(u)y).

  • Jacobian of a Transformation

    174693 Jacobian of a Transformation Find the Jacobian of the transformation x= u + v + w, y= u + v - w, z= u - v + w.

View More Related Solutions