Recent content by solomar

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    Differential Equations - Eigenvalues and Eigenfunctions

    I got it from changing the DE into m^2 + 2m + λ I did the "m" thing because in the previous chapters to solve some equations I would solve the associated homogeneous DE and use the value of m to determine the structure of the general solution. It's the only step I have made and I feel like even...
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    Differential Equations - Eigenvalues and Eigenfunctions

    Homework Statement Find the eigenvalues and the eigenfunctions for x^2y"+2xy'+λy = 0 y(1) = 0, y(e^2) = 0 Homework Equations See problem The Attempt at a Solution My book has one paragraph on this that does not help me. I tried using an auxiliary equation and solving for lambda...
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    Minimizing Area between two functions, one which is constant.

    Homework Statement Graph the curves y = (x+4)(x-5) and y = ax+2 for various values of a. For what value a is the area between the two curves a minimum? Homework Equations y = (x+4)(x-5) y = ax+2 The Attempt at a Solution For my attempt I attempted to find the primary equation...
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    Calculating Distance to Screen in Double Slit Diffraction Experiment

    There we go! For some reason it wasn't quite clicking with me...but I definitely got it now, thank you very much :)
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    Calculating Distance to Screen in Double Slit Diffraction Experiment

    So then using those two values for m I would receive two different values for L. I don't see how having those two lengths solved would help me find the distance to the screen at all. I'm sorry I just don't understand how this leads to a solution...
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    Calculating Distance to Screen in Double Slit Diffraction Experiment

    Homework Statement Light of wavelength 460nm falls on two slits spaced .3 mm apart. What is the required distance from the slit to a screen if the spacing between the first and second dark fringes is to be 4mm?Homework Equations dsin(theta)=(m+1/2)lambda where d = .3mm y=4mm lambda = 460nm...
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