Prove that equation have a unique solution through the point
(0,1). With the knowledge acquired can...
Prove that equation have a unique solution through the point
(0,1). With the knowledge acquired can you exhibit explicitly that
unique solution for a and b?
Uniqueness theorem
Prove that the solution to the Laplace’s equation in a spatial
region is unique if the potential is specified on the surface of
the region.
Use a fixed-point iteration to determine the solution (in
[0,1])ofthe equation x = 1.5cos(x). Use a starting value of 0.5.
How many iterations does it take before you have an answer which is
accurate in the first 2 digits? ...in the first 3 digits?...in the
first 4 digits? What happens if you change the starting value to
0.7?...to 0.0?
Does the fixed-point iteration converge? If not, modify the
equation so that x = cos(x)/30 + 44x/45. Does the iteration
converge...
Plot the Trapezoid Method approximate solution on [0,1] for the
differential equation y = 1 + y2 and initial condition (a) y0 = 0
(b) y0 = 1, along with the exact solution (see Exercise 6.1.7). Use
step sizes h = 0.1 and 0.05 (Code In Matlab)
Plot the Euler’s Method approximate solution on [0,1] for the
differential equation
y* = 1 + y^2 and initial condition (a) y0 = 0 (b) y0 = 1, along
with the exact solution (see
Exercise 7). Use step sizes h = 0.1 and 0.05. The exact solution is
y = tan(t + c)
The equation of the line that goes through the point (3,2) ( 3 ,
2 ) and is parallel to the line going through the points (−2,3) ( −
2 , 3 ) and (5,6) ( 5 , 6 ) can be written in the form ?=??+?
where:
m=
b=
For a unique solution to the wave equation, what boundary
conditions must be satisfied.
a) Boundary conditions are not needed for a medium with no
interfaces.
b) This is a trick question; all boundary conditions must be
satisfied.
c) The tangential boundary conditions
d) The normal boundary conditions
e) Continuity in solution across the boundary must be
satisfied.
T F (1)The loss tangent is related to the ratio of the
conduction current density to the convection current density in the...
Find the equation of the line through the point P = (0,2,−1)
that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉.
v and w are vectors by the way