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I. Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0

I. Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0

Calculus For The Life Sciences
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 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Exact Equations Answer no.1
I. II. ERS EXACT EQUATIONS Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0 2. w³ + wz²z)dw + (z³ + w²z − w)dz = 0 - 3. (sin0-2rcos²0) dr + rcos0 (2rsin0 + 1)dr = 0 4. x(3xy - 4y³ + 6)dx + (x³ − 6x²y²-1)dy = 0 5. (2x-3y)dx + (2y - 3x)dy = 0 Solve the initial value problem non 1. (3+ y + 2y²sin²x) dx + (x + 2xy- 4, y = 1 2. (vexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2 - 0; when x =
Transcribed Image Text:I. II. ERS EXACT EQUATIONS Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0 2. w³ + wz²z)dw + (z³ + w²z − w)dz = 0 - 3. (sin0-2rcos²0) dr + rcos0 (2rsin0 + 1)dr = 0 4. x(3xy - 4y³ + 6)dx + (x³ − 6x²y²-1)dy = 0 5. (2x-3y)dx + (2y - 3x)dy = 0 Solve the initial value problem non 1. (3+ y + 2y²sin²x) dx + (x + 2xy- 4, y = 1 2. (vexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2 - 0; when x =
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