Develop a Matlab function myBCE$9$ that applies the boundary conditions of provided to the dependent variable T$.$ Do not set values for the global variables inside the function

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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

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Function Outputs:

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

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Use global variable

$$ dx: grid spacing $$x

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Provided left and right functions:

On the left, the fluid entering the pipe has a prescribed temperature of:

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

On the right end of the pipe, 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$=0)=5$

I only need to get the right boundary code correct. the left is solved for with:

$\%$ Left boundary condition: T$($x$=0,$ t$)$

T$(1)=5-4*$ sin$(((20*$ pi$)/11)*$ t$)$;

Current right boundary condition codes attempted:

T$($end$)=$ T$($end$-1)+$ dx $*(-2-3*$ sin$(((4*$ pi$)/5)*$ t$))$;

$\%$Right boundary condition $($x $=$ L$)$

right $=-2-3*$ sin$((4*$ pi $/5)*$ t$)$;

T$($M$+1)=$ T$($M$)+$ right $*$ dx;