What is Integral equation: Definition and 109 Discussions
In mathematics, integral equations are equations in which an unknown function appears under an integral sign.
There is a close connection between differential and integral equations, and some problems may be formulated either way. See, for example, Green's function, Fredholm theory, and Maxwell's equations.
hi all, i have the following integral equation to solve:
.y......x
./....../
| [1/(c1-c2*y)]dy = | [1/(1-x^2/c3^2)]dx
/....../
0......0
where c1, c2, c3 are constants.
Can I solve it analytically? If not, how can i dot to find the function x(y) or y(x)? Otherwise, does it exist an...
\int \tan x \cdot dx + \int \tan 2y \cdot dy = 0
I get
1 = C\sqrt{\cos 2y} \cos x
My init conditions were y(0) = pi/2 so I end up getting C as \sqrt{-1} but the equation should be
-1 = \cos 2y \cos^2 x
Where's my error?
hi guys,
i need help with following eqation.
(2x+5) (x^2-3)
--------------- << entire equation is divide by x.
x
i need integral value of this equation.
thank you in advance,
moshe
what does an equation need so that the equation can be integrated?
not all of equation can be integarted right?
I was quite confuse if it can be integrated or not whether I found a difficult integration. Thanx
I'm interested in studying the following equation, solving for \phi(s) given y(s):
\int_0^s \frac{2r}{\sqrt{s^2-r^2}} \phi(r)dr=y(s)
or in more standard form:
\int_0^s K(s,r)\phi(r)=y(s)
This is how I think it should be approached:
The kernel,K(s,r) is singular at s=r. Thus, the...
in this postcrpit i would like to say i have fund a second order integral equation (fredholm type) for the prime number counting function in particular for Pi(2^t)/2^2t function being Pi(t) the prime number counting function,teh equation is like this is we call Pi(2^t)/2^2t=g(t) then we have...
Cuasi-exact Integral equation for Pi(x)/x**2
I thinks i have solved a cuasi exact integral equation for Pi(x)/x**2 expresing this function in terms of eigenfunctions of a symmetric kernel K(s,t)=nexp(-n**2(s-t)**2+s**2(t+s)/2**(5st)-1 form the usual integral equationfor Pi(x)...
i am trying to solve the integral equation
g(x)=Int(0,infinite)f(t)st/exp(st)-1)) the Kernel is
K(s,t)=st/(exp(st)-1) so K(s,t)=K(t,s) is symmetric..so their eigenfunctions will be orthogonal and their eignevalues real..but i do not kow if f(t) belongs to L**2 so we could i solve it using...