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Solve the given initial-value problem. (Use as the independent variable.) 2yy"-1.y(0) 10. (0) 1 2²-2

Solve the given initial-value problem. (Use as the independent variable.) 2yy"-1.y(0) 10. (0) 1 2²-2

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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Solve the given initial-value problem. (Use x as the independent variable.) 2y'y" = 1, y(0) = 10, y'(0) = 1 +2 Need Help? X Read It
Transcribed Image Text:Solve the given initial-value problem. (Use x as the independent variable.) 2y'y" = 1, y(0) = 10, y'(0) = 1 +2 Need Help? X Read It
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Step 1

Given  2y'y''=1⇒2y'ddx(y')=1⇒2y'd(y')=dxIntegrating both side we get(y')2=x+c1 , where c1 be an integrating constant.                      ⋯⋯⋯⋯⋯⋯⋯(1)

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