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Q: How do you solve a third-order linear partial differential equation?
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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


What is an Airy equation?

An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.


What areas of math do you need the most help with?

Non-linear partial differential equations. Are you offering to help me? If not, why did you ask?


What is bratu equation?

the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.


What are different ways to solve a system of equation?

That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential

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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


What has the author Marcus Pivato written?

Marcus Pivato has written: 'Linear partial differential equations and Fourier theory' -- subject(s): Partial Differential equations, Linear Differential equations, Fourier transformations


What has the author Robert Carmichael written?

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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


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Viktor Pavlovich Palamodov has written: 'Linear differential operators with constant coefficients [by] V.P. Palamodov' -- subject(s): Differential equations, Partial, Differential operators, Partial Differential equations


What has the author Francois Treves written?

Francois Treves is an Italian mathematician known for his research in partial differential equations and functional analysis. He has authored numerous academic papers and several books, including "Basic Linear Partial Differential Equations" and "Introduction to Pseudo-Differential and Fourier Integral Operators."


What is an Airy equation?

An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.


What has the author Rudolph Ernest Langer written?

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What is integrating factor of linear differential equation?

What is integrating factor of linear differential equation? Ans: assume y = y(x) in the given linear ODE. Then, by an integrating factor of this ODE, we mean a function g(x) such that upon multiplying the ODE by g(x), it is transformed into an exact differential of the nform d[f(x)] = 0.


What areas of math do you need the most help with?

Non-linear partial differential equations. Are you offering to help me? If not, why did you ask?


What is bratu equation?

the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.