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anonymous
 one year ago
Show that the wave fucntion y=e^b(xvt) is solution to linear wave equation(i.e d2y/dx2=1/v^2 d2y/dt2?
where d is partial derivative
anonymous
 one year ago
Show that the wave fucntion y=e^b(xvt) is solution to linear wave equation(i.e d2y/dx2=1/v^2 d2y/dt2? where d is partial derivative

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1just plug it in, eg \(y_t = vb e^{b(xvt)}\), and then add it all up...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0plz explain with steps sir if possible

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know much about derivatives and integrals

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1lol! seriously, if you don't know that *much about* calculus, messing about with the wave equation is a tough one for anyone :p you have \(y_t\) which to be clear is a simpler way of writing \(\frac{∂y}{∂t}\). now do \(y_{tt}\), ie\(\frac{∂^2y}{∂t^2}\). just pattern match and see where you go! in terms of the x partial, you have: \(y_x =be^b(xvt)\). do the same again to get \(y_{xx} \)
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