Explain why it is always possible to express any homogeneous differential equation M(x, y) dx + N(x,
Question:
Explain why it is always possible to express any homogeneous differential equation M(x, y) dx + N(x, y) dy = 0 in the form
dy/dx = F(y/x).
You might start by proving that
M(x, y) = xαM(1, y/x) and N(x, y) = xαN(1, y/x).
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We write the differential equation Mx ydx Nx ydy 0 as dydx fx y where ...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
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