0
In mathematics, a PDE is a Partial Differential Equation.
To partially differentiate an equation, read below:
Suppose you have a function f(x,y) and suppose you want to partially differentiate it w.r.t. x then you consider y as a constant and find d/dx(f(x,y)).
Eg. - Let f(x,y)=xy+x+y then on partially differentiating f(x,y) w.r.t. x -
d/dx(f(x,y))
= d/dx(xy) + d/dx(x) + d/dx(y)
= y(d/dx(x)) + 1 + 0 (as y is constant)
= y +1
Some application(s) of partial differential equations that I know -
1. Find the centre of a conic:
Suppose you have a curve as a function of x and y, say f(x,y).
Then to find its centre -
-> Partially differentiate f(x,y) w.r.t. x. Let the equation obtained be e1.
-> Partially differentiate f(x,y) w.r.t. y. Let the equation obtained be e2.
Solve e1 and e2 to get (x,y) which is the centre of the curve.
2. To find the (conservative) force acting on an object if its Potential energy is given as a function of distance:
-> Let the potential energy function be U(x,y).
-> To find the force acting on object in x-direction, find minus(partial derivative of U(x,y) w.r.t. x).
-> Same method to find force acting on the object in y-direction.
-> Only works for conservative force.
For more information, please see the related link.
Add your answer:
Earn +20 pts
What does PDE stand for?
PDE stands for Partial Differential Equation
Is mean an adverb?
Mean can be ad adverb. For example, the mean man, would be using the word mean as an adverb.
What does the name Jalon mean?
what does jalon mean
What does A M mean?
For a radio, it would mean "amplitude modulation." For time, it would mean "ante meridian."
What does 6x mean?
it mean 6 times a number
What does PDE stand for?
PDE stands for Partial Differential Equation
Application of pde?
theriyala
In mathematics what does the abbreviation PDE stand for?
The abbreviation PDE stands for partial differential equation. This is different from an ordinary differential equation in that it contains multivariable functions rather than single variables.
What does Dirichlet problem mean?
In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation(PDE) in the interior of a given region that takes prescribed values on the boundary of the region.
What is a drawback of trying to solve a partial differential equation explicitly?
As far as I'm aware a PDE can't be solved explicitly because of the nature of the equation. However, you can separate the variables of a PDE essentially turning it into multiple ODEs which then can be solved explicitly.The draw back of this is that most terms in a PDE are a combination of variables, such as 3xy+2yz+xyz, rather than being separated neatly already (making separation into ODEs easy), such as x+y+z. In cases where the variables are jumbled up with each other, there are often faster and easier ways of solving the PDE than trying to separate the variables into ODEs and solving explicitly.
Why is it important for the youth to be involved in worthwhile activities?
ako nga ang tatanong eh :)) pde paki sagot nman ?? :)
What has the author P W Bentley written?
P. W. Bentley has written: 'Regularity & inverse SDE representations of some stochastic PDE'
Ano ang kahulugan ng idioma?
mga potang ina nyu pde palang lokohan to e !!!
How do you derive the main PDE in the Heston stochastic volatility model?
It is not possible to reproduce the equations on this website, however you can find a detailed derivation at the related link.
What are the standard speaker sizes in a 2004 Honda civic si hatchback?
Front door and rear panel speakers are both 6 1/2" PDE
Pwede bang gumamit ng jingle sa October 25 2010 barangay election?
yes of course pde kang gumamit ng jingle song materials or maybe a song na pde mag sink in sa mga botante na maalaa ka pag dating ng halalan...but be sure to it na Hindi ka gagastos ng malaki para sa jingle campaign materials...tnx
What is the enzyme that inactivates cAMP?
cAMP is inactivated by the enzyme phosphodiesterase (PDE), which breaks down cAMP into its inactive form, AMP. This process regulates the signaling pathway controlled by cAMP in cells.
