Show that the differential form is not exact, but becomes exact when multiplied through by the given integrating factor u (t, y). Then find the general solution to the differential form equation. (4t²y + 2y²)dt + (3t3 + 4ty)dy 0, μ (t, 9) ty2.
Show that the differential form is not exact, but becomes exact when multiplied through by the given integrating factor u (t, y). Then find the general solution to the differential form equation. (4t²y + 2y²)dt + (3t3 + 4ty)dy 0, μ (t, 9) ty2.
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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Transcribed Image Text:Q1
Show that the differential form is not exact, but
becomes exact when multiplied through by the
given integrating factor u(t, y). Then find the
general solution to the differential form
equation.
(4t²y + 2y²)dt + (3t³ + 4ty)dy =
0, μ (t, y) ty?.
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