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
1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are
two solutions, A and B, with A < B
2.Solve 5cos(5x)=25cos(5x)=2...
1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are
two solutions, A and B, with A < B
2.Solve 5cos(5x)=25cos(5x)=2 for the smallest three positive
solutions.Give your answers accurate to at least two decimal
places, as a list separated by commas
3.Solve 5sin(π4x)=35sin(π4x)=3 for the four smallest positive
solutions
4.Solve for tt, 0≤t<2π0≤t<2π
21sin(t)cos(t)=9sin(t)21sin(t)cos(t)=9sin(t)
5.Solve for the exact solutions in the interval [0,2π)[0,2π). If
the equation has no solutions, respond with DNE.
2sec2(x)=3−tan(x)
6.Give the smallest two solutions of sin(7θθ) = -0.6942 on [...
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...