In problem use the indicated change of variable to find the general solution of the given differential
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In problem use the indicated change of variable to find the general solution of the given differential equation on (0, ∞).
x2y'' + 2xy' + α2x2y = 0; y = x-1/2 v(x)
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If y x 12 vx then by the product rule y x 12 v 12x 32 v Hence using the product rule twice y x 12 v ...View the full answer
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Clifford Sparks
I graduated with a first class MSci degree in Mathematics with Theoretical Physics from University College London in 2002, and subsequently completed a PhD in Fluid Mechanics at Imperial College London, graduating in 2007. I have developed a software synthesizer in C++ which utilises mathematical methods such as Fourier transforms, as well as a new type of audio filter which requires advanced root-solving algorithms. I have been with the charity Action Tutoring since 2017, tutoring GCSE maths and accumulating over 100 hours of tutoring experience, both in real-life and online settings. I have an enhanced DBS certificate and I am registered on several online tutoring platforms.
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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