Hyperbolic,parabolic and elliptical form of partial differential equations

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How to find out that particular partial differential equation is in the form of hyperbola,ellipse and parabola

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In computational aerodynamics, this is very important. Subsonic, transonic, and supersonic flow fields, are often described by these three types of PDEs

ricksanchez

1_What are the properties of a particular partial DE in reality that made it parabolic, hyperbolic or elliptical ?
2_What are the applications of partial differentiation in real life?
Thanks& regards

inusarabiuisah

Let xy/2 uxx - 4(x+y+1) uxy + xy/2 uyy =0 . In which region should y lie so that the pde Hyperbolic:
Option a) y> max (-1, -(1+x/1-x))
Option b) -(1+x/1-x))<y<-1
Option c)y>-1, x>-1
Option d) y=x+1 and x belongs to [-7/4, 11/4]

Mam please tell how to solve it

Guru-kvdf

Which Ganesh Institute is this? Is this what we also know as GIE, the Ganesh Institute of Engineering which is situated in Chennai? Is it the same institute or some different one? Can someone please answer me and let me know? Thanks

ae

Thank you so much, love your explanation 👏

taiwoayosilemoyinoluwa

what happens if this equation is 4th order partial differential

vijaykumar-jgmz

Thnx less time consuming better concept understanding

shivatribe

Mam can we check it for first order partial differential equation...?

muhammadakash

Can you prove below first order pde as hyperbolic ?
ut+ux=0

tusharjadhav

Which is the camera you used. It is of good quality. If you suggest it, I can use such a camera for recording video class
Prof. Chandrasekhar
Thiruvananthapuram

ganeshn

Thank you very much for this helpful lecture.

AJ-etvf

Thanks for helping us Love you 💋💞😘❣️🥰😍

alicejohn

mam if you gives the examples of parabola hyperbola and elliptic seprately then it would be very helpfull for us

awaisqureshi

mam with ur hlp me and frnds had submitted the assignment thank you so much it is really useful for us

anitrabisha

Thanks a lot maa'm
For helping me

lalitcarpenter

please send problems link or vedeo or pdf maam

shantan.pkumar

Question adhura hai mam x define kijiye kanha se kanha tk hi

merajalam

Where's for first order and with time coordinate

shubhamkumarsingh

partial u partial t + partial u(u^ 2 +v^ 2 ) partial x =0,

partial v partial t + partial v(u^ 2 +v^ 2 ) partial x =0.

Classify this system. Is it hyperbolic, parabolic, or elliptic?
Ma'am help me with tis

tusharsolanki

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