Recent content by maxfails

Homework Statement I need to find the general solution of the system [3 5] [-1 -2] Homework Equations so to get the eigenvalues, det(A - λI) The Attempt at a Solution determinant is (3-λ)(-2-λ) + 5 which would be λ2 - λ - 1 so by the quadratic equation the eigenvalues are...

Is the form of the Yp supposed to come from the fundamental set of solutions or from the right side of the equation, the (3 + x)e-x ?

So do I only need just one particular solution to find the general one?

The equation is y'' + 4y' + 4y = (3 + x)e-x and initial conditions y(0) = 2, y'(0)=5so from the associated homogenous equation I think the fundamental set of solutions is {e^-2x, xe^-2x} and so yc would be Yc = c1e-2x + c2xe-2x but now I don't know how to get Yp, particular solution or what...

I need to figure out the value for d in this equation, but because the numbers are large, I don't know how. (d)(13) mod (2436) = 1. d times 13 mod 2436 should be equal to 1. Is there a process I can use to find out the value of d.

How would you solve a problem like this where you have to find what base A is for this equation to be true? So in what base are these numbers.24)A + 17)A = 40)A Not asking the answer for this particular question but how you'd solve it (other than trial and error obviously)

so apparently 3^-1 mod 5 = 2 so (1/3) mod 5 = 2 I don't get how this works, can someone explain?

it seems you can't use the property ln x^n = n ln x. I'm thinking there's integration by parts involved but not sure.

yea but the thing is, its not just some small exercise its actually a major assignment involving making a model in a program and creating a procedure to calculate is, so I'm not sure if they would give extra info on something like this. guess i'll email the prof or something...

Finding index of refraction using wavelength and 2 angles?? I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...