Author Topic: Q1-P2  (Read 1693 times)

Victor Ivrii

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Q1-P2
« on: September 29, 2016, 09:29:38 PM »
Find the general solutions to the following equation:
\begin{equation}
u_{xyz}=\sin (x)+\sin (y)+\sin(z)
\label{eq-1}
\end{equation}

Roro Sihui Yap

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Re: Q1-P2
« Reply #1 on: September 29, 2016, 09:30:40 PM »
$ u_{xyz} = \sin x + \sin y + \sin z $
$ u_{yz} = - \cos x + x \sin y + x \sin z + f_{yz}(y,z) $
$ u_{z} = - y \cos x - x \cos y + xy \sin z + f_z(y,z) + g_z(x,z) $
$ u = - yz \cos x - xz \cos y - xy \cos z + f(y,z) + g(x,z) + h(x,y)$