y 2xy+x² x+y 2y²+xy and dx + dy = 0 This is the original equation. 1 (x+2y)² ƏM 1 ду (x+2y)² Using the general equation of exact equation of differential equation f Mdx + f Ndy = fo ƏN əx y is constant from dx and without x terms for dy which is shortcut for exact de method. Now we can integrate this equation: y S √ zxy+xz dx S₂y2+xydy = fo f 2xy+x² So now please integrate this equation which results to an equation xy² C(x + 2y) =

Calculus For The Life Sciences
2nd Edition
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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y
2xy+x²
x+y
2y²+xy
and
dx +
dy = 0 This is the original equation.
ƏM
1
1
ду (x+2y)²
(x+2y)²
Using the general equation of exact equation of differential equation
f Mdx + f Ndy = f0
ƏN
əx
y is constant from dx and without x terms for dy which is shortcut for exact
de method. Now we can integrate this equation:
Szxy+xz dx S2y2+xydy = f0
2xy+x²
So now please integrate this equation which results to an equation xy²
C(x + 2y)
=
Transcribed Image Text:y 2xy+x² x+y 2y²+xy and dx + dy = 0 This is the original equation. ƏM 1 1 ду (x+2y)² (x+2y)² Using the general equation of exact equation of differential equation f Mdx + f Ndy = f0 ƏN əx y is constant from dx and without x terms for dy which is shortcut for exact de method. Now we can integrate this equation: Szxy+xz dx S2y2+xydy = f0 2xy+x² So now please integrate this equation which results to an equation xy² C(x + 2y) =
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ISBN:
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Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,