There is 1 IC's with respect to t There are 2 BC's with respect to r

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There is 1 IC's with respect to t
There are 2 BC's with respect to r

There Is 1 Ic S With Respect To T There Are 2 Bc S With Respect To R 1 (27.98 KiB) Viewed 18 times

There Is 1 Ic S With Respect To T There Are 2 Bc S With Respect To R 2 (27.98 KiB) Viewed 18 times

There Is 1 Ic S With Respect To T There Are 2 Bc S With Respect To R 3 (44.45 KiB) Viewed 18 times

PROBLEM ди A circular plate of unit radius and diffusivity K has initial temperatures f(r) = 100 (1 – r2), wherer is the distance of any point from the center. If the temperature of the boundary is kept at zero and if the plane faces are insulated, find the temperature at any point of the plate at any time. The governing PDE is: K au 1 du + ) ALSO, DETERMINE THE Set up the integral to obtain the coefficient. DO NOT integrate. appropriate IC's and BC's

Vibrating String The boundary value problem for the vibrating sering the Caming PE (SXSL120) BCN 2.) -0 -0 (20 6.) -70). 10) - 60 (OSXSL) an external force in parallel to the ani ya magnitude Funiti per unit lange the wave equation would be 3 Fight of string only wampiry force is portional to the weity of the ring with Botionally constant then --- Vibrating Membrane For a vibrating membrane we dimme,adrum The two-dimensional wave equation applied without damping or external force- with a forcing um 6). conditions and boundary and must be specified to get a particular solucions NOTES DETERMINING IC's and BC's The Wave Equation String segment Apply Newtown of ingen and Nesforce de generation The Heat Equation Goverig #-10<=<LI> BC) (LOT. IF > 0 wx,0) - ) 0<x<4 Or there could be in condition Insulated andi 200-40-0 > Inicial temperature (0) - 0) 0<x<4 Insulation conditions means there is no heat flow across the end of the bar Two dimensional heat equation *) Three-dimensionalequin C&C must accompany these problem. We wetherical component of Tas +0.17 . A A - - *) - Looking at the hortal.component T&x) Co MM) - TO Lat.) (.) oral component Ox+x) - M.) 0 Hence) is independent of hand- Sabattimento (3) The Wave Equation: cont. Substitutionen And the standard for 5-9 This is the one-dimensionale equation, Indiaposition yox.) -70) OSXSL Initial velocity 6.0) - OSXSL boundary conditions. The wring is dat both endi sch yat) - L.) - fort 20