Homework Statement
y2dx -x(2x+3y)dy =0 I have to recognize the equation and solve it
Homework Equations
The Attempt at a Solution
I did y2dx - (2x2+ 3yx) dy=0
which is a homogeneous now
after I substitude x=uy
dx=udy + ydu
I stuck here after the substitution...
Please someone help me how to find information about the advantages and disadvantages of each method (Euler, Heun and Runge-Kutta). I surched in google and there is nothing useful posted there. We using Dennis Zill textbook for First course of DE. I need to kind of compare them before I use one...
Homework Statement
Evaluate \int F dr
if F(x,y) =(6x2 +4y) i + (4x-2y) j and the curve C is a smooth curve from (1,1) to (2,3).
Homework Equations
The Attempt at a Solution
I took partial derivatives with respect of y for the first term and with respect of x for the second...
Homework Statement
Show that the vector field given is conservative and find its potential function.
F(x, y, z)= (6x^2+4z^3)i +(4x^3y+4e^3z)j + (12xz^2+12ye^3z)k.
Homework Equations
The Attempt at a Solution
When I take partial derivative with respect of y for...
it is not binomial distribution, it is like fliping coins:
a) is (1/2)^4 x (1/2)^4 for the two teams
b) is AABABBA which is 1,2, 4 and 7 win games for team A and 3,5 and 6 for team B
which is (1/2)^4 x (1/2)^3
c) is how many ways
d) I don't know yet, I am trying :confused:
Homework Statement
When two teams meet in the World Series, they play a series of games which stops when one team has won four games (a "best-of -seven" series). The team in the World Series are A and B.
(a) If the two teams are evently matched, what is the probability that the World...
Homework Statement
Given \vec{}r"(t)= 6i-4cos (2t)j+ 9e3tk,
r'\vec{} (0)= 4i +3k and r\vec{}(0)=j+k, find r\vec{}(t).
Homework Equations
The Attempt at a Solution
I will appreciate any ideas how to start this problem. Thank you.
Homework Statement
Write the equation of the sphere whose diameter has endpoints at (-1,1,-3) and (3,-1,2).
Homework Equations
The Attempt at a Solution
(x-x1)2+ (y-y1)2+ (z-z1)2= r2
the center of the sphere is : (1,0,-1/2)
r= \sqrt{}5/4
then the equation is...