PROBLEM ON WAVE EQUATION (HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS)

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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]

Sir please tell how to solve it

Guru-kvdf
Автор

@16:43 where did you get the formula to find equation (iii)? Apologies if I missed the origin of the formula. Thank you in advance.

jilbertnovelero
Автор

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]

Sir please tell how to solve it

Guru-kvdf