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7. yy" + (y')² + 1 = 0

7. yy" + (y')² + 1 = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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'
Transcribed Image Text: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'
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'
Transcribed Image Text: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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