Develop a Matlab function myBCE$9$ that applies the boundary conditions of to the dependent variable T$.$

Function Inputs:

$$ t: scalar value of time $($t$)$

$$ T: column vector of temperature values T$($vector$)$ at all M $+1$ mesh points at time t

Function Outputs:

$$ T: column vector of temperature T$($vector$)$ at all M $+1$ mesh points at time with the boundary conditions applied

Use global variable

$$ dx: grid spacing $$x

Provided left and right functions:

On the left, the fluid has a temperature gradient of:

T$($x$=0,$t$)=5-4*$ sin$(((20*$ pi$)/11)*$ t$)$

On the right, the fluid leaving has a temperature gradient of:

dT$/$dx$($x$=$L$,$t$)=-2-3*$ sin$(((4*$ pi$)/5)*$ t$)$

At t$=0,$ the temp of the fluid in the pipe is:

T$($x$,$t$=0)=5$