4(a)Verify that the equation y = Inx – Iny is an implicit solution of the TVP, ydx = x(y+ 1)dy y(e) = 1 (b) Consider the VP, test whether it is exact and solve it. x(x- y)dy= =(3xy– y²)dx y(-1) = 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1:02 A O P •
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4(a)Verify that the equation y = In x – Iny is an implicit solution of the
IVP,
´ydx = x(y+1)dy
y(e) = 1
(b) Consider the IVP, test whether it is exact and solve it.
x(x=y)dy= =(3xy– y²)dx
У(-1) - 1
(c) Determine the degree of the following homogeneous function
| (i) ƒ(x, y) = 4x² + 2y*,
(i) F<x, y) =
5x6 – 3y6 + 4x²y*,
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Transcribed Image Text:1:02 A O P • Done 4(a)Verify that the equation y = In x – Iny is an implicit solution of the IVP, ´ydx = x(y+1)dy y(e) = 1 (b) Consider the IVP, test whether it is exact and solve it. x(x=y)dy= =(3xy– y²)dx У(-1) - 1 (c) Determine the degree of the following homogeneous function | (i) ƒ(x, y) = 4x² + 2y*, (i) F<x, y) = 5x6 – 3y6 + 4x²y*, Text editor Edit picture Fill Form Annotation
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