In problem, x = 0 is a regular singular point of the given differential equation. Show that
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In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ∞).
2x2y" - xy' + (x2 + 1)y = 0
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The given differential equation is 2x2y xy x2 1y 0 We can see that x 0 is a regular singular point o...View the full answer
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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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