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8. y'=fln(y²¹) + 1²

8. y'=fln(y²¹) + 1²

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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2. Separation of Variables Determine which of the following differential equations are separable. Do not solve the differential equation; write the separated form if possible. 1. y'= 1 + y 4. y' = In(ty) 7. y' = 9. V = y' y+ e. a. b. 4tdy= (y² + ty²)dt y(1) = 1 c. y' = y (2) = 0 2t 1+2y d. y'=- 2. y' = y - y³ 5. y' = d+ Solve the following differential equations by separation of variables: '=²/²² 1+y² 1+12 y' = tye-t 3. y'= sin(t + y) y +1 +! ty y(0) = -1 6. y' = 8. y = 10. ty' = 1 + y² ln(y) +1²
Transcribed Image Text:2. Separation of Variables Determine which of the following differential equations are separable. Do not solve the differential equation; write the separated form if possible. 1. y'= 1 + y 4. y' = In(ty) 7. y' = 9. V = y' y+ e. a. b. 4tdy= (y² + ty²)dt y(1) = 1 c. y' = y (2) = 0 2t 1+2y d. y'=- 2. y' = y - y³ 5. y' = d+ Solve the following differential equations by separation of variables: '=²/²² 1+y² 1+12 y' = tye-t 3. y'= sin(t + y) y +1 +! ty y(0) = -1 6. y' = 8. y = 10. ty' = 1 + y² ln(y) +1²
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