i hate differential equations

logistic_guy

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Apr 17, 2024
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Solve.

K02ux2+Q=0\displaystyle \large K_0\frac{\partial^2 u}{\partial x^2} + Q = 0

u(0)=T\displaystyle \large u(0) = T

uxx=L=0\displaystyle \large \frac{\partial u}{\partial x}\bigg |_{x=L} = 0


where QK0=x2\displaystyle \large \frac{Q}{K_0} = x^2.
 
Solve.

K02ux2+Q=0\displaystyle \large K_0\frac{\partial^2 u}{\partial x^2} + Q = 0

u(0)=T\displaystyle \large u(0) = T

uxx=L=0\displaystyle \large \frac{\partial u}{\partial x}\bigg |_{x=L} = 0


where QK0=x2\displaystyle \large \frac{Q}{K_0} = x^2.
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