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Q: Mathematical problem fnd the Integral surface of partial differential equation x-y p plus y-x-z q z thraigh circle z 1 x 2 plus y 2 1?
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What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.


Heat equation partial differential?

Yes, it is.


What is a numerical solution of a partial differential equation?

Some partial differential equations do not have analytical solutions. These can only be solved numerically.


What are the applications of partial differential equations in computer science?

All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.


What is nonlinear ordinary differential equation?

An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example

Related questions

What is monge's Method?

Monge's method, also known as the method of characteristics, is a mathematical technique used to solve certain types of partial differential equations. It involves transforming a partial differential equation into a system of ordinary differential equations by introducing characteristic curves. By solving these ordinary differential equations, one can find a solution to the original partial differential equation.


What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.


Heat equation partial differential?

Yes, it is.


What has the author George Francis Denton Duff written?

George Francis Denton Duff has written: 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'Differential equations of applied mathematics' -- subject(s): Differential equations, Differential equations, Partial, Mathematical physics, Partial Differential equations


What is a numerical solution of a partial differential equation?

Some partial differential equations do not have analytical solutions. These can only be solved numerically.


Example of total partial and original differential equation?

An ordinary differential equation (ODE) has only derivatives of one variable.


What has the author Paul C Rosenbloom written?

Paul C. Rosenbloom has written: 'Linear partial differential equations' -- subject(s): Linear Differential equations, Partial Differential equations 'The elements of mathematical logic' -- subject(s): Symbolic and mathematical Logic


What does PDE stand for?

PDE stands for Partial Differential Equation


What has the author Stefan Bergman written?

Stefan Bergman has written: 'Integral operators in the theory of linear partial differential equations' -- subject(s): Differential equations, Partial, Integral operators, Integrals, Partial Differential equations 'Sur la fonction-noyau d'un domaine' -- subject(s): Functions of complex variables, Representation of Surfaces, Surfaces, Representation of 'Description of regional geological and geophysical maps of northern Norrbotten County (east of the Caledonian orogen)' -- subject(s): Geology, Geology, Stratigraphic, Stratigraphic Geology 'Kernel functions and elliptic differential equations in mathematical physics' -- subject(s): Differential equations, Differential equations, Elliptic, Elliptic Differential equations, Functions, Kernel functions, Mathematical physics 'Kernel Functions and Elliptic Differential Equations (Pure & Applied Mathematics)'


What has the author Christopher L Jang written?

Christopher L. Jang has written: 'Partial differential equations' -- subject(s): Partial Differential equations, Mathematical physics


What has the author Lars Garding written?

Lars Garding has written: 'Cauchy's problem for hyperbolic equations' -- subject(s): Differential equations, Partial, Exponential functions, Partial Differential equations 'Applications of the theory of direct integrals of Hilbert spaces to some integral and differential operators' -- subject(s): Differential equations, Partial, Hilbert space, Partial Differential equations


What are the applications of partial differential equations in computer?

All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.