This happens if a PDE involves derivatives with respect to one variable only (or can be transformed

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This happens if a PDE involves derivatives with respect to one variable only (or can be transformed to such a form), so that the other variable(s) can be treated as parameter(s). Solve for u = u(x, y):

x²u_xx + 2xu_x - 2u = 0

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Sep 30, 2022 06:11 AM

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This happens if a PDE involves derivatives with respect to one variable only (or can be transformed

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One variable y2 2x 2 Two variable 2y u y 0 Using equation we can further simplify to obtain Thus ...View the full answer

Advanced Engineering Mathematics

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