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#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

Find $a^2 u_{xx} = u_{tt} $ if $\lambda$ a real number.

If

$u_1\left(x, t\right)=\sin\left({\lambda x}\right)\sin\left({\lambda at}\right)$

And

$u_2 \left(x, t\right)={e}^{-a^2 \lambda ^2 t}\sin\left({\lambda x}\right)$

I didn't know how to deal with the $a^2$

If

$u_1\left(x, t\right)=\sin\left({\lambda x}\right)\sin\left({\lambda at}\right)$

And

$u_2 \left(x, t\right)={e}^{-a^2 \lambda ^2 t}\sin\left({\lambda x}\right)$

I didn't know how to deal with the $a^2$

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