Recent content by jc2009

\frac{dv}{dx}=0= , is u_{x} right so whenever an end is insulated u_{x} is the correct format of that boundary THis has always caused me problems in this PDE class I am taking, in this problem u_{x} is used because it is insulated , but in other problems where insulation is not present...

if you solve B=0 then v(20)=A20+b =100 A=5 then v(x) = 5x how did you get 100?

My question is how come v(x) = 100, if you integrate v'' , you'll have to get a constant times x + constant , why just 100 ?

In this part : I think you meant to say "THe solution for the steady state,(not the transient one) can be written as: v(x)=A\cdot x + B Using the boundary conditions, you get: v(x)=10\cdot x because you if you integrate 2 times the v(x) part using the boundary condition you get u'' =...

excellent answer, very detailed, thank you coomast

PROBLEM: Verify that the functions [x+1]e^(-t) ; e^(-2)sint ; and xt are respectively solutions of the nonhomogeneous equations Hu = -e^(-t)[x+1] ; Hu = e^(-2x)[4sint+cost] ; and Hu = x where H is the 1D heat operator H = \frac{\partial}{\partial t} -...

THe following exercise deal with the steady state distribution of the temperature in either 2-dimensional plates or 3-dimensional regions. Problem: A 10X20 rectangular plate with boundary conditions . at the lower side where there is poor insulation the normal derivative of the temperature is...

Problem: Find the steady state temperature of a laterally insulated rod subject to the following conditions. Length of the rod 10, , left end kept at 0 and right end at 100 Solution: i got this equation from a book i don't know if this applied to this problem but i don't know what to do...

THank you so much

Problem 1 : Find the steady state temperature of a laterally insulated rod subject to the following conditions. Length of the rod 20, left end insulated and right end held at 100 I am not sure if i fully understand this problem, is this asking me to list the Boundary value conditions ? like...

Problem:IF there is heat radiation within the rod of length L , then the 1 dimensional heat equation might take the form u_t = ku_xx + F(x,t) Find u(x) if F = x , k = 1 , , u(0)=0 , u(L) = 0 the problem is that i am not sure what this is asking me , how can i find u(x) if i have...