Recent content by Raphisonfire

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    Finding the Constant in a Separable Differential Equation

    Homework Statement \frac{dy}{dx} = \frac{1+\sqrt{x-2}}{1+2y} I have solved the equation down too y + y2 = x + (2/3)(x-2)(3/2) + C1 I am not sure where to go from here... Do I solve for C1 and then plug it back into the equation and solve it as a quadratic or just solve it as a...
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    Determining the polarisation state of the waves.

    I know what polarisation state means. My problem is, I don't know how to work through the phase shifts, to actually find the polarization state of that specific wave.
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    Determining the polarisation state of the waves.

    Homework Statement E(z,t) = E_{0x} \sin (kz - wt - \frac{\pi }{12}) - E_{0y} \cos (kz - wt + \phi + \frac{\pi}{12}) E(z,t) = E_{0x} \sin (kz - wt - \frac{\pi }{3}) - E_{0y} \sin (kz - wt + \frac{\pi}{6}) The Attempt at a Solution For the first and second problem, I set t and z both to 0, so...
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    Infinite number of polarisers (Malus's law)

    My problem: "Imagine you have two identical perfect linear polarisers and a source of natural light. Place them one behind the other and position their transmission axes at 0° and 90° respectively. If 1000 W.m-2 of randomly polarised light is incident. Determine an expression for the...
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    Some small linear algebra questions

    Well I think I've solved it, finally... If I'm correct, I got b = \begin{pmatrix} 2\\ 5 \\ 7 \\ 10 \end{pmatrix} = b_1 \begin{pmatrix} 8.1 \\ 10.2 \\ 12.3 \\ 14.4 \end{pmatrix} + b_2 \begin{pmatrix} -6.1 \\ -5.2 \\ -5.3 \\ -4.4 \end{pmatrix} Also can anyone explain the first question to me...
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    Some small linear algebra questions

    Hello, I just have some small questions about linear algebra that are giving me some slight grief. I know how to find the number of free variables and the basis of the solution space. But what is confusing me is the A transpose... When doing the problem, would I firstly take the transpose...
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