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

x=2 ,y=3 is a solution of the linear equation

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

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

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)

Verify that the function y=x sin x is a solution of the differential equation of x dy/dx=y+x sqrt(x^2-y^2)

Verify that the function y'''=0 is a solution of the differential equation y=x^(2)+2x+1.

Verify that the function y''+4y=0 is a solution of the differential equation y=3sin 2x.

The two individual wave functions are y_(1)=(5" cm")sin (4x-t)and y_(2)=(5" cm") sin (4x + t) ltbrrgt where, x and y are in centimetres. Find out the maximum displacement of the motion at x = 2.0 cm.