a) Determine whether the given differential equation is exact.
If it is exact, solve it. (If it is not exact, enter NOT.)
(2xy2 − 5) dx + (2x2y + 4) dy = 0
b) Solve the given differential equation by finding, as in
Example 4 of Section 2.4, an appropriate integrating factor.
(6 − 20y +
e−5x)
dx − 4 dy = 0
Determine whether the given differential equation is exact. If
it is exact, solve it.
i) (x 3 + y 3 )dx + 3xy2 dy = 0, Ans. x 4 + 4y 3x = C
ii) (y ln y − e −xy) + (1 y + x ln y) dy dx = 0, Ans. not
exact
iii) (e −x sin y − 3)dx − (3x 2 − e x sin(2y))dy = 0, Ans. not
exact
iv) (xy − 1)dx + (x...
cosxdx + [7+(2/y)]sinxdy = 0
Find if the equation is exact. If it is exact, solve.
If it is not exact, find an integrating factor to make it exact,
verify that it is exact and solve it.
How
to find exact and conditional log likelihood for MA(1) model. Find
ML estimates. (For Nile data in R but if you tell me the process
I’ll apply it to that data)
Show the differential equation is not exact and by finding an
appropriate integrating factor solve the given initial problem.
(yx+y^2+ y) dx + (x+2y) dy =0
If the perturbation is a constant potential, how many terms are
needed for an exact solution?
Question 2 options:
a)
Infinite
b)
One
c)
It depends on the nature of the system.
d)
Zero
e)
Two
Find the energy spectrum of a particle in the infinite square
well, with potential U(x) → ∞ for |x| > L and U(x) = αδ(x) for
|x| < L. Demonstrate that in the limit α ≫ hbar^2/mL, the low
energy part of the spectrum consists of a set of closely-positioned
pairs of energy levels for α > 0. What is the structure of
energy spectrum for α < 0?
Use eigenvalue-eigenvector method to solve the systems,
write
the exact solutions and sketch the trajectories of the
systems, indicating stability
and direction of motion with increasing ?.
1. x'=-2y
y'=x+3y
2. x'=x-2y
y'=-4x-y
3. x'=-10x+4y
y'=-3x-2y
4. x'=-2x-2y
y'=x
5. x'=-y
y'=x+2y
JAVA PROGRAMMING ASSIGNMENT - MUST USE ARRAYLIST TO SOLVE.
OUTPUT MUST BE EXACT SAME FORMAT AS SAMPLE OUTPUT.
In this assignment, you will create a program implementing the
functionalities of a standard queue in a class called
Queue3503. You will test the functionalities of the
Queue3503 class from the main() method of the
Main class. In a queue, first inserted items are removed
first and the last items are removed at the end (imagine a line to
buy tickets at...