Biomedical Engineering > GATE 2024 > Differential Equations
Consider a system of the following two partial differential equations:
(∂α/∂x)=-2(∂β/∂t)
(∂β/∂x)=-2(∂α/∂t)
Which one of the following choices is a possible solution for the system?
A
α(t,x)=(x-t)^2+(x+t)^2 and β(t,x)=(x-t)^2-(x+t)^2.
B
α(t,x)=(x-2t)^2+(x+2t)^2 and β(t,x)=(x-2t)^2-(x+2t)^2.
C
α(t,x)=(x-(t/2))^2+(x+(t/2))^2 and β(t,x)=(x-(t/2))^2-(x+(t/2))^2.
D
α(t,x)=(x-(t/2))^2+2(x+(t/2))^2 and β(t,x)=2(x-(t/2))^2-(x+(t/2))^2.

Correct : b

Similar Questions

The time-dependent growth of a bacterial population is governed by the equation dx/dt=x(1-(x/200)), where x is the population size at time t. The initial popula...
#107 MCQ
A system is described by the following differential equation 0.01(d2y(t)/dt2)+0.2(dy(t)/dt)+y(t)=6x(t), where time (t) is in seconds. If x(t) is the unit step i...
#125 NAT
Solution of the differential equation dy/dx-y=cos x is _______.
#173 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: