Explanation The given ODE is y ′ = − 5 y 1 2 . Integrate and find the solution of d y d x = − 5 y 1 2 as follows. ∫ d y y 1 2 = − 5 ∫ y 1 2 d x y 1 2 1 2 = − 5 x + C y 1 2 = − 5 2 x + C y + 5 2 x = C Let the points ( 4 , 0 ) and ( 0 , 0 )

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Author: Kreyszig

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Chapter 1.2, Problem 10P

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To graph: The direction field of y′=−5y12 with the several solution curves and compare them with an exact solution.

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ADVANCED ENGINEERING MATHEMATICS

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

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To graph: The direction field of y ′ = − 5 y 1 2 with the several solution curves and compare them with an exact solution.

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