Aerospace Engineering > GATE 2021 > Partial Differential Equations
u(x, y) is governed by the following equation:
2u/∂x2 - 4(∂2u/∂x∂y) + 6(∂2u/∂y2) = x + 2y.
The nature of this equation is: _______.
A
linear
B
elliptic
C
hyperbolic
D
parabolic

Correct : b

Similar Questions

Consider the partial differential equation ∂2f/∂x2 + ∂2f/∂y2 = 0, where x, y are real. If f(x, y) = a(x)b(y), where a(x) and b(y) are real functions, which one...
#176 MCQ
Let u(x,t) denote the displacement of a point on a rod. The displacement satisfies the following equation of motion:∂2u/∂t2-25∂2u/∂x2=0 , 0
#452 Fill in the Blanks
The partial differential equation ∂u/∂t=α∂2u/∂x2 where α is a positive constant, is
#506 MCQ

Related Topics

partial differential equation PDE classification second order PDE elliptic hyperbolic parabolic Aerospace Engineering GATE 2021 GATE AE 2021 Q12 nature of PDE mathematics for engineers

Unique Visitor Count

Total Unique Visitors

Loading......