The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter equation can be solved by direct integration, and then replacing v by 2 gives the solution to the original equation. dy _ x? + 7y? Use this method to solve the differential equation dx 6xy NOTE: Use c for the constant of integration. y(x) = ±

The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter equation can be solved by direct integration, and then replacing v by 2 gives the solution to the original equation. dy _ x? + 7y? Use this method to solve the differential equation dx 6xy NOTE: Use c for the constant of integration. y(x) = ±

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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