Find the Green's function for each of the following problem, and
determine
the solution of each...
Find the Green's function for each of the following problem, and
determine
the solution of each of the following boundary-value problem:
y" + 4y = e^x
y(0) = 0
y'(1) = 0
Find an expression for the Hamiltonian, the Green's Function in
Electrodynamics and the time independent Schrodinger Equation.
Derive a force equation from each one
1- Find the solution of the following equations. For each
equation, 2- determine the type of the category that the equation
belongs to. Separable equation, Homogenous equation, Linear
equation, or Bernolli equation?
1. ydx − x ln xdy = 0
2. y ′ = (1+y^2) / (xy(1+x2))
3. xy′ + (1 + y^2 ) tan^−1 y = 0
4. y ′ = (y) / (x+ √xy)
5. y ′ = (y−x) / (y+x)
6. tan x dy/dx + y =...
Determine where each of the following function from R to R is
differentiable and find the derivative function: a) f(x) =| x | b)
g(x) = x | x | c) h(x) = sin x|sin x|.
Find the general solution of the following
differential equations (complementary function
+ particular solution). Find the particular solution by inspection
or by (6.18), (6.23),
or (6.24). Also find a computer solution and reconcile differences
if necessary, noticing
especially whether the particular solution is in simplest form [see
(6.26) and the discussion
after (6.15)].
(D2+2D+17)y = 60e−4x sin 5x
For the following LP problem, determine the optimal solution by
the graphical solution method.
Min Z= 3x1+2x2
Subject to 2x1+x2 >10
-3x1+2x2
< 6
X1+x2
> 6
X1,x1
> 0
Graph and shade the feasible region
For the following linear programming problem, determine the optimal
solution by the graphical solution method
Max
-x + 2y
s.t.
6x - 2y <= 3
-2x + 3y <= 6
x + y <= 3
x, y
>= 0
Find an optimal solution to the following transportation
problem.
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+
??
To
From
A
B
C
Supply
X
?$10
?$19
?$12
150
Y
?$17
?$13
?$9
100
Z
?$20
?$18
?$14
50
Demand
80
120
60
Based on the given demand and? supply, the given transportation
problem is
?
balanced
unbalanced
.Before finding the initial? solution, a dummy
?
supplier
destination
should be introduced.The total cost of the optimal solution?
=
?$