Problem 4. Write a formula for the solution of 1D heat equation (a) (b) (c) {...

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Problem 4. Write a formula for the solution of 1D heat equation (a) (b) (c) { gut u(x,0) = e-r², u(x, 0) = Ut+3u = Uxx, 2²+1 ut + 2tu 16uxx, u(x, 0) = 4uxx = e-|²|₁ TER,t> 0 TER. xER,t> 0 x > 0. xER,t> 0 TER. Problem 4. Write a formula for the solution of 1D heat equation (a) (b) (c) { gut u(x,0) = e-r², u(x, 0) = Ut+3u = Uxx, 2²+1 ut + 2tu 16uxx, u(x, 0) = 4uxx = e-|²|₁ TER,t> 0 TER. xER,t> 0 x > 0. xER,t> 0 TER.