Show that the wave funcation `y = e^(b(x-vt))` is a solution of the linear wave equation.

Verify that wave function (y=(2)/(x-3t)^(2)+1) is a solution to the linear wave equation, x and y are in centimetres.

Verify that wave function (y=(2)/(x-3t)^(2)+1) is a solution to the linear wave equation, x and y are in centimetres.

Verfify that wave equation y = e^(2x-5t) is a soluation to linear equation of the wave (here x & y are in cm & t is in second)

Check whether the following equation is a solution to one dimensional wave equation. y-4x-7t

Verify the solution problems: Show that y=e^(-x)+ax+b is solution of the differential equation e^(x)(d^(y))/(dx^(2))=1

Verify the solution problems: Show that y = e^-x + ax +b is solution of the differential equation e^x (d^2y)/ dx^2 = 1

Can the wave functions y=r(x-vt) or y=rlog(x+vt), y=rsqrt(vt-x) represent a wave motion?

Check the dimensional of the wave y = sin (x - vt) . If it is dimensionally wrong , write the above equation in the correct form .

A wave representing by the equation y = A cos(kx - omegat) is suerposed with another wave to form a stationary wave such that point x = 0 is a node. The equation for the other wave is