Question 3 Use the method of separation of variables to solve the heat equation ди 0 0 with the following initial-boundary conditions, respectively. (a) u(t, 0) = 0, u(t, 1) = 0, u(0, x) = 2. 0

Question 3<br>Use the method of separation of variables to solve the heat equation<br>ди<br>0 < x< 1, t>0<br>with the following initial-boundary conditions, respectively.<br>(a) u(t, 0) = 0, u(t, 1) = 0, u(0, x) = 2.<br>0 < x < }<br>0, <*<1<br>2,<br>ди<br>(t, 1) = 0, u(0, x) =<br>du<br>(b)<br>(t,0) = 0,<br>(c) u(t, 0) = 1, u(t, 1) = 3, u(0, x) = x? + x + 1.<br>%3D<br>

Extracted text: Question 3 Use the method of separation of variables to solve the heat equation ди 0 <>< 1,="" t="">0 with the following initial-boundary conditions, respectively. (a) u(t, 0) = 0, u(t, 1) = 0, u(0, x) = 2. 0 < x="">< }="" 0,=""><><1 2,="" ди="" (t,="" 1)="0," u(0,="" x)="du" (b)="" (t,0)="0," (c)="" u(t,="" 0)="1," u(t,="" 1)="3," u(0,="" x)="x?" +="" x="" +="" 1.="">

Jun 05, 2022

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Question 3 Use the method of separation of variables to solve the heat equation ди 0 0 with the following initial-boundary conditions, respectively. (a) u(t, 0) = 0, u(t, 1) = 0, u(0, x) = 2. 0

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