In Problems 3.27, 3.28, and 3.29, differential equations are given in both standard and differential form. Determine whether the equations in standard form are homogencous and/or linear, and, if not linear, whether they are Bernoulli; determine whether the equations in differential form, as given, are separable and'or exact. x dx 上小= 3.27. y = xy; --dy 0 y 3.28. y' = xy + 1; (xy + 1)dx - dy = 0 3.29. -dx-dy 0

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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In Problems 3.27, 3.28, and 3.29, differential equations are given in both standard and
differential form. Determine whether the equations in standard form are homogencous
and'or linear, and, if not linear, whether they are Bernoulli; determine whether the
equations in differential form, as given, are separable and'or exact.
3.27. y = xy: xdx --dy = 0
x dx
y
3.28.
y = xy + 1; (xy + 1)dx - dy = 0
3.29.
dx-dy 0
Transcribed Image Text:In Problems 3.27, 3.28, and 3.29, differential equations are given in both standard and differential form. Determine whether the equations in standard form are homogencous and'or linear, and, if not linear, whether they are Bernoulli; determine whether the equations in differential form, as given, are separable and'or exact. 3.27. y = xy: xdx --dy = 0 x dx y 3.28. y = xy + 1; (xy + 1)dx - dy = 0 3.29. dx-dy 0
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