MCQs of Higher Order Partial Differential Equation (Complex Variables and Partial Differential Equations - 3140610)

Complex Variables and Partial Differential Equations (3140610) MCQs

MCQs of Higher Order Partial Differential Equation

Showing 11 to 14 out of 14 Questions

11.

The equation $\frac{\partial^{2} u}{\partial t^{2}} = c^{2} \frac{\partial^{2} u}{\partial x^{2}}$ is known as the _____ .

(a)	one dimensional heat flow equation
(b)	one dimensional wave equation
(c)	laplace equation
(d)	none of these

12.

Which of the following is known as the one dimensional heat flow equation?

(a)	$\frac{\partial u}{\partial t} = c^{2} \frac{\partial^{2} u}{\partial x^{2}}$
(b)	$\frac{\partial^{2} u}{\partial t^{2}} = c^{2} \frac{\partial^{2} u}{\partial x^{2}}$
(c)	$\frac{\partial u}{\partial t} = \frac{\partial^{2} u}{\partial x^{2}} + u$
(d)	none of these

13.

The equation $\frac{\partial u}{\partial t} = c^{2} (\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}})$ is known as the ____ .

(a)	laplace equation
(b)	one dimensional wave equation
(c)	one dimensional heat equation
(d)	two dimensional heat equation

14.

The equation $(\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}}) = 0$ is known as the ____ .

(a)	laplace equation
(b)	one dimensional wave equation
(c)	one dimensional heat equation
(d)	none of these

Showing 11 to 14 out of 14 Questions