What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0 with y = 1 when x = 1 ? 2xy² In(y) + x² – 4y² + 3xy² = 0 2xy² In(y²) + x³ – 4y³ + 3xy² = 0 B 2xy² In(y) + x³ – 4y³ + 3xy² = 0 2xy? In(y + 2) + x* – 4y³ + 3xy? = 0 O A

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.CR: Chapter 11 Review
Problem 33CR
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What is the particular solution to the differential equation
x(x³ – xy2 + 2y³)dy – y(x³ + 2y³)dx = 0
with y = 1 when x = 1?
%3D
2.xy² In(y) + x² – 4y² + 3xy² = 0
2xy² In(y²) + x3 – 4y³ + 3xy? = 0
%3D
2xy? In(y) + x³ – 4y³ + 3xy² = 0
2xy? In(y + 2) + x³ – 4y³ + 3xy? = 0
A
B.
Transcribed Image Text:What is the particular solution to the differential equation x(x³ – xy2 + 2y³)dy – y(x³ + 2y³)dx = 0 with y = 1 when x = 1? %3D 2.xy² In(y) + x² – 4y² + 3xy² = 0 2xy² In(y²) + x3 – 4y³ + 3xy? = 0 %3D 2xy? In(y) + x³ – 4y³ + 3xy² = 0 2xy? In(y + 2) + x³ – 4y³ + 3xy? = 0 A B.
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