Solve the following DE: [3sin (y) — 5x ]dx + 2x²cot(y) dy=0 Ox²[sin (y) - 2x]³=C'sin³(y) Oy³[sin(y) +x]²=Csin³(y) Oy³[sin(y) + x²]²=Csin(y) Ox³[sin(y)-x]²=Csin²(y)

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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Solve the following DE:
[3sin (y) - 5x]dx + 2x²cot(y) dy=0
Ox[sin (y) - 2x]³=C'sin³(y)
Oy³[sin (y) +x]²=Csin ³(y)
O ya[sin (y) +x²]²=Csin (y)
Ox[sin(y)-x]²=Csin²(y)
Transcribed Image Text:Solve the following DE: [3sin (y) - 5x]dx + 2x²cot(y) dy=0 Ox[sin (y) - 2x]³=C'sin³(y) Oy³[sin (y) +x]²=Csin ³(y) O ya[sin (y) +x²]²=Csin (y) Ox[sin(y)-x]²=Csin²(y)
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