Question
In: Advanced Math
2 parts: Solve the PDE using LaPlace Transforme: (A and B are constants) (Part 1) ut...
2 parts:
Solve the PDE using LaPlace Transforme: (A and B are constants)
(Part 1) ut = uxx, 0<x<l, t>0
u(x,0) = A,
ux(0, t) = 0,
u(l, t)= B
(Part 2) utt = uxx, 0< x < l , t >0
u(x,0) = ut(x,0) = 0
u(0,t) =0,
u(l, t)=A
Solutions
Colby Messinger answered 2 years agoRelated Solutions
Solve the initial value problem Utt = c^2Uxx, u(0,x)= e^-x^2 , Ut(0,x) = sin x (PDE)
Solve the initial value problem Utt = c^2Uxx,
u(0,x)= e^-x^2 , Ut(0,x) = sin x
(PDE)
Solve the following ODE using Laplace Transforms ?̈+?̇+3?=0;?(0)=1; ?̇(0)=2
Solve the following ODE using Laplace Transforms
?̈+?̇+3?=0;?(0)=1; ?̇(0)=2
1) Solve the Laplace equation ∇^2(u)=0 (two dimensions so ∂^2/∂a^2 + ∂^2/∂b^2) where the boundaries of...
1)
Solve the Laplace equation ∇^2(u)=0 (two dimensions so ∂^2/∂a^2
+ ∂^2/∂b^2) where the boundaries of the rectangle are 0 < a <
m, 0 < b < n with the boundary conditions:
u(a,0) = 0
u(a,n) = 0
u(0,b) = 0
u(m,b)= b^2
Solve the following heat equation using Fourier Series uxx = ut, 0 < x < 1,...
Solve the following heat equation using Fourier Series
uxx = ut, 0 < x < 1, t > 0,
u(0,t) = 0 = u(1,t), u(x,0) = x/2
Solve the following heat equation using Fourier Series uxx = ut, 0 < x < 1,...
Solve the following heat equation using Fourier Series
uxx = ut, 0 < x < 1, t > 0,
ux(0,t) = 0 = ux(1,t), u(x,0) = 1 -
x2
Solve the linear second-order ODE for each case of b. Find constants using the given initial...
Solve the linear second-order ODE for each case of b. Find
constants using the given initial conditions.
y(0)=1, y'(0)=0
y''+by'+16y=0
b=0
b=2
b=8
b=10
say b represents damping constant. What is the effect of damping
on the motion of a mass?
(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2 −4s + 6 (b) Solve the initial...
(a) Determine the inverse Laplace transform of F(s) =(2s−1)/s^2
−4s + 6
(b) Solve the initial value problem using the method of Laplace
transform. d^2y/dx^2 −7dy/dx + 10y = 0, y(0) = 0, dy/dx(0) =
−3.
(c) Solve the initial value problem:
1/4(d^2y/dx^2)+dy/dx+4y = 0, y(0) = −1/2,dy/dx(0) = −1.
(PDE) Find the series soln to Ut=Uxx on -2<x<2, T>0 with Dirichlet boundary { U(t,-2)=0=U(t, 2)...
(PDE)
Find the series soln to Ut=Uxx on -2<x<2, T>0
with Dirichlet boundary { U(t,-2)=0=U(t, 2)
initial condition { U(0,x) = { x, IxI <1
Please solve parts B and C Part A What is the average time required for H2...
Please solve parts B and C
Part A
What is the average time required for H2 to travel 1.00 m at 298
K and 1 atm?
Express your answer with the appropriate units.
t =
5.66×10−4 s
Correct
Part B
How much longer does it take N2 to travel 1.00 m, on average,
relative to H2 under these same conditions?
Express your answer with the appropriate units.
t =
3.73s
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Part...
y''+ 3y'+2y=e^t y(0)=1 y'(0)=-6 Solve using Laplace transforms. Then, solve using undetermined coefficients. Then, solve using...
y''+ 3y'+2y=e^t
y(0)=1
y'(0)=-6
Solve using Laplace transforms.
Then, solve using undetermined coefficients.
Then, solve using variation of parameters.
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