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Solve each of the following differential equations subject to given conditions, if any. Answers (x² + 1) (y³ – 1) dx = x*y* dy x - x' = 1/3 In(y3 - 1) + c 1. (y + 2xy) dx + (x² + 2xy) dy = o x’y + y°x = c 2.

Solve each of the following differential equations subject to given conditions, if any. Answers (x² + 1) (y³ – 1) dx = x*y* dy x - x' = 1/3 In(y3 - 1) + c 1. (y + 2xy) dx + (x² + 2xy) dy = o x’y + y°x = c 2.

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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Solve each of the following differential equations subject to given conditions, if any. Answers (x² + 1) (y³ – 1) dx = x*y* dy x - x" = 1/3 In(y³ – 1) + c 1. (y' + 2xy) dx + (x² + 2xy) dy = 0 x*y + y*x = c 2. 3. (x² + 2xy) dx + (y² + 2xy) dy = o x² + xy + y = c(x + y) dy 2y 4. 5x²y = x³ + c + x² dx dy у %3D 2х — х + с 5. + 2x = 2 dx (y + 3)" = (4x)" + c y+3 y'= 6. 2X 7. xy' = 3y + x*e* y = cx3 – x³e* 8. xy' + y In x = y In y + y In y = cx + In x %3D x dy - y dx = 2x*y dy (e' + x + 3) y' = 1 9. 2xy3 = 3y + CX X = ye - 3 + ce 10.
Transcribed Image Text:Solve each of the following differential equations subject to given conditions, if any. Answers (x² + 1) (y³ – 1) dx = x*y* dy x - x" = 1/3 In(y³ – 1) + c 1. (y' + 2xy) dx + (x² + 2xy) dy = 0 x*y + y*x = c 2. 3. (x² + 2xy) dx + (y² + 2xy) dy = o x² + xy + y = c(x + y) dy 2y 4. 5x²y = x³ + c + x² dx dy у %3D 2х — х + с 5. + 2x = 2 dx (y + 3)" = (4x)" + c y+3 y'= 6. 2X 7. xy' = 3y + x*e* y = cx3 – x³e* 8. xy' + y In x = y In y + y In y = cx + In x %3D x dy - y dx = 2x*y dy (e' + x + 3) y' = 1 9. 2xy3 = 3y + CX X = ye - 3 + ce 10.
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