Using the given substitutions, find the solutions of the following equations. dy x+y dx 1-х-у (а) z = x+y dy _3x-у+3 dx 3x-у-1 (b) , z = 3x – y- 3 dy x+y = 2x(1+x²y²), z = xy (c) %3D dx dy (d) = tan (x+ y), z = x + y dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4.
Using the given substitutions, find the solutions of the following equations.
dy
x+y
(а)
z = x+ y
dx 1-х-у
dy _3x-у+3
dx 3x-у-1
(b)
, z = 3x – y– 3
dy
(c)
+y = 2x(1+x*y*). z = xy
dx
dy
= tan (x+ y) , z = x+ y
dx
(d)
Transcribed Image Text:4. Using the given substitutions, find the solutions of the following equations. dy x+y (а) z = x+ y dx 1-х-у dy _3x-у+3 dx 3x-у-1 (b) , z = 3x – y– 3 dy (c) +y = 2x(1+x*y*). z = xy dx dy = tan (x+ y) , z = x+ y dx (d)
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