Question

Q. 7. Find the solution of heat equation: $\frac{\partial u}{\partial t} = 9 \frac{\partial^2 u}{\partial x^2}$ such that $u(0,t) = u(3,t) = 0$, $u(x,0) = 5 \sin\frac{7\pi x}{3}$

          Q. 7. Find the solution of heat equation:
$\frac{\partial u}{\partial t} = 9 \frac{\partial^2 u}{\partial x^2}$ such that $u(0,t) = u(3,t) = 0$, $u(x,0) = 5 \sin\frac{7\pi x}{3}$

Q. 7. Find the solution of heat equation:
(∂ u)/(∂ t) = 9 (∂^2 u)/(∂ x^2) such that u(0,t) = u(3,t) = 0, u(x,0) = 5 sin(7π x)/(3)

Added by Olga R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Georgiann Andersen

Step 1

The heat equation is given by du/ds = k * d^2u/dx^2, where u is the temperature distribution, s is time, x is the spatial variable, and k is the thermal diffusivity constant. Show more…

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