Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4. Determine if the equation is exact, and if it is exact, find the general
solution.
a.) (y² + 2t) + 2tyy' = 0
b.) 2t? – y + (t+ y²)y/ = 0
с.) 2.гу + 2л3 + (а2 — у)у — 0
d.) 2ty + (ť² + 3y²)y'
= 0, y(1) = 1
e.) Find the conditions on the constants a, b, c, d which guarantee that
the differential equation
(at + by) = (ct + dy)y
is exact.
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Transcribed Image Text:4. Determine if the equation is exact, and if it is exact, find the general solution. a.) (y² + 2t) + 2tyy' = 0 b.) 2t? – y + (t+ y²)y/ = 0 с.) 2.гу + 2л3 + (а2 — у)у — 0 d.) 2ty + (ť² + 3y²)y' = 0, y(1) = 1 e.) Find the conditions on the constants a, b, c, d which guarantee that the differential equation (at + by) = (ct + dy)y is exact.
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