X =
{a,b,c,d,e}
T = {X, 0 , {a}, {a,b}, {a,e}, {a,b,e}, {a,c,d},
{a,b,c,d}}
Show that...
X =
{a,b,c,d,e}
T = {X, 0 , {a}, {a,b}, {a,e}, {a,b,e}, {a,c,d},
{a,b,c,d}}
Show that the sequence a,c,a,c, ,,,,,,, converges to d.
please...
Solve the Initial Value Problem:
a) dydx+2y=9, y(0)=0 y(x)=_______________
b) dydx+ycosx=5cosx,
y(0)=7d y(x)=______________
c) Find the...
Solve the Initial Value Problem:
a) dydx+2y=9, y(0)=0 y(x)=_______________
b) dydx+ycosx=5cosx,
y(0)=7d y(x)=______________
c) Find the general solution, y(t), which solves the problem
below, by the method of integrating factors.
8t dy/dt +y=t^3, t>0
Put the problem in standard form.
Then find the integrating factor, μ(t)= ,__________
and finally find y(t)= __________ . (use C as the unkown
constant.)
d) Solve the following initial value problem:
t dy/dt+6y=7t
with y(1)=2
Put the problem in standard form.
Then find the integrating...
Use the eigenfunction expansion to solve utt = uxx + e −t
sin(3x), 0 < x...
Use the eigenfunction expansion to solve utt = uxx + e −t
sin(3x), 0 < x < π u(x, 0) = sin(x), ut(x, 0) = 0 u(0, t) =
1, u(π, t) = 0.
Your solution should be in the form of Fourier series. Write
down the formulas that determine the coefficients in the Fourier
series but do not evaluate the integrals
Given a, b, c ∈ G, solve for x (show all your steps):
1. {(x∗a∗x)∗(x∗a∗x)∗(x∗a∗x)=b∗x and...
Given a, b, c ∈ G, solve for x (show all your steps):
1. {(x∗a∗x)∗(x∗a∗x)∗(x∗a∗x)=b∗x and x∗x∗a=(x∗a)^−1}
2. x∗x∗b = x∗a−1∗c
Let a, c be positive constants and assume that a/ 2πc is a
positive integer. Consider...
Let a, c be positive constants and assume that a/ 2πc is a
positive integer. Consider the equation Utt +
aut = c^2Uxx , which represents a damped
version of the wave equation (telegrapher’s equation). Assuming
Dirichlet boundary conditions u(0, t) = u(1, t) = 0, on the
infinite strip 0 ≤ x ≤ 1, t ≥ 0, with initial conditions u(x, 0) =
f(x), ut(x, 0) = 0, complete the following:
(a) Find all separable solutions (of the form...