Question

4. Solve the problem $u_t = ku_{xx}$, $x > 0$, $t > 0$, $u(0, t) = 1$, $t > 0$, $u(x, 0) = 0$, $x > 0$. Hint: Transform the problem to one of the form (2.17)-(2.19) and use Exercise 2.

          4. Solve the problem
$u_t = ku_{xx}$, $x > 0$, $t > 0$,
$u(0, t) = 1$, $t > 0$,
$u(x, 0) = 0$, $x > 0$.
Hint: Transform the problem to one of the form (2.17)-(2.19) and use
Exercise 2.

Added by Jorge M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Piyush Kumar Gupta

03/19/2022

Step 1

17)-(2.19), we introduce the change of variables: v(x, t) = u(x, t) - 1 Show more…

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Solve the problem u_t = ku_xx, x > 0, t > 0, u(0, t) = 1, t > 0, u(x, 0) = 0, x > 0. Hint: Transform the problem to one of the form (2.17)-(2.19) and use Exercise 2. Please use the hint. 4. Solve the problem u_t = ku_xx, x > 0, t > 0 u(0, t) = 1, t > 0, u(x, 0) = 0, x > 0. Hint: Transform the problem to one of the form (2.17)-(2.19) and use Exercise 2.