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Question Number 169078 by MikeH last updated on 23/Apr/22

Answered by mahdipoor last updated on 23/Apr/22

$${\alpha }^2\times \frac{{\partial }^{2}u}{\partial x^2}=\frac{\partial u}{\partial t}\Rightarrow$$$$-{\alpha }^2{\left(\frac{n\pi }{L}\right)}^{2}exp(-\frac{n^2{\alpha }^2{\pi }^2}{L^2}t)sin\left(\frac{n\pi x}{L}\right)=$$$$(-\frac{n^2{\alpha }^2{\pi }^2}{L^2})exp(-\frac{n^2{\alpha }^2{\pi }^2}{L^2}t)sin\left(\frac{n\pi x}{L}\right)$$

Commented by MikeH last updated on 24/Apr/22

$$\mathrm{perfect}$$

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