In Problems 7, 8, 9, and 10 the independent variable x is missing in the givendifferential equation. Proceed as in Example 2 and solve the equation by usingthe substitution u = y'.7. yy' + (y')² + 1 = 0Answer +8. (y+1)y" = (y')²9. y' + 2y(y')³ = 0Answer10. y'y" = y' In Problems 7, 8, 9, and 10 the independent variable x is missing in the givendifferential equation. Proceed as in Example 2 and solve the equation by usingthe substitution u = y'.7. yy' + (y')² + 1 = 0Answer +8. (y+1)y" = (y')²9. y' + 2y(y')³ = 0Answer10. y'y" = y'

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Answered: 7. yy" + (y')² + 1 = 0

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7. yy" + (y')² + 1 = 0

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 15CR

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Question

In Problems 7, 8, 9, and 10 the independent variable x is missing in the given
differential equation. Proceed as in Example 2 and solve the equation by using
the substitution u = y'.
7. yy' + (y')² + 1 = 0
Answer +
8. (y+1)y" = (y')²
9. y' + 2y(y')³ = 0
Answer
10. y'y" = y'

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