~christina~

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**1. Homework Statement**

verify by direct substitution that the wave function for a standing wave given in equation below is a solution to the general linear wave equatin.

[tex] y= (2A sin kx)cos \omega t [/tex]

[tex]\frac{\delta^2y} {\delta x^2}= \frac{1} {v^2} \frac{\delta^2 y} {\delta t^2} [/tex]

**2. Homework Equations**(above)

How do I do this by direct substittution ?

I originally went and just proved it through partial differentiation but I've never heard of direct substitution before.

Help please

Thank you