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I am working out a heat transfer problem but I've to solve the Differential equation in order to keep going on but it's been a long time since i did any Differential. your help will be appreciated.

**d/dx[(k+aT)dT/dx]=0**

i need thins in terms of T(x)

my boundary conditions T(x=0)=To

T(x=L)=TL

my work

d/dx[(k+aT)dT/dx]=0

(k+aT)dT=C1dx

KT+(a/2)T^2=C1x+C2

rearranging

T^2+(2/a)*k*T=(2/a)*(C1x+C2)

lets call (2/a)=z

**T^2+z*k*T=z*(C1x+C2)**

i could not get further from here due to lack of my Deferential equation knowledge. I really need to learn this as I'm expecting to see a lot more of this later and i actually took differential long time ago. any help would be appreciated

thanks in advance