please solve this problem from PDE course neatly and consicely
please solve this problem from PDE course neatly and consicely Verify the convolution identity F[f *...
Taylor series. Please show all work neatly. Thanks! 2. In the course of some physics problem you need this integral: 1 dx where β is a small parameter. Find the series for f(3) up to and including any β3 terms
This is PDE problem. Please show all steps in detail with neat handwriting. Problem . Consider the function a) Find the full Fourier Series of F(x) a(0, y, t) = u(a, y, t) 0 u(z, 0, t ) = u(z, b, l) = 0 u(z,y,0) = f(z,y), u(x, y,0)-g(x,y), 0<y< b,t0 a) b) Solve the initial-boundary value problem for 2D wave equation. What is the physical interpretation of these boundary conditions
Apply convolution theorem solve the following problem and then show that laplace transform equals F(s) 1 of F(s)= (s +3)(s - 7)
Pleas Please use Z transfer and solve the convolution finally by using partial fraction Problem l Compute the convolution x(-n). x(n +4),giving: (n)-0.3 2 x(n5-.no
) Verify your formula for 1"n directly from the definition of the convolution product by using induction on n and a calculation like: *T et ) Verify your formula for 1"n directly from the definition of the convolution product by using induction on n and a calculation like: *T et
Please Solve Both Problems Clearly and neatly show all work for each problem. Solutions with no w credit. 1. Solve the following initial-value problem. X'=(123), x(0) = (4) 2. Solve the following initial-value problem. X'=(-2 ->)x, X(0) =
Please solve all parts in this problem neatly 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state which identities you have used . 3. Let f(x, y, ). g(y,z) and h(x,y,z) be C2 scalar functions. Prove the following identity: (a) By direct calculation (without using the vector identities) ( b) Using the vector identities. Clearly state...
Please answer the following questions please show all work and write your answers neatly and thoroughly please. Also please make sure your answers are correct. Thank you I appreciate it! 2. Solve the PDE 4ux - 5y = 0, together with the auxiliary condition that u(0,y) = y.
Find the convolution f(t) *g(t) for the following problem. f(t) = g(t) = 9 sint (f*g)(t) =
Problem 1: [10 marks] Solve the PDE without using the method of characteristics!