(a) Find an implicit solution of the IVP (2y + 2)dy - (4x 3 + 6x)dx =...
Question:
(a) Find an implicit solution of the IVP
(2y + 2)dy - (4x3 + 6x)dx = 0, y(0) = -3.
(b) Use part (a) to nd an explicit solution y = -(x) of the IVP.
(c) Consider your answer to part (b) as a function only. Use a graphing utility or a CAS to graph this function, and then use the graph to estimate its domain.
(d) With the aid of a root finding application of a CAS, determine the approximate largest interval I of definition of the solution y = φ(x) in part (b). Use a graphing utility or a CAS to graph the solution curve for the IVP on this interval.
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a An implicit solution of the differential equation 2y 2dy 4x3 6x dx 0 is y 2 2y x 4 3...View the full answer
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Souvik Ghosh
Hi, I am Souvik from India. I am a graduate mechanical engineer. I completed my graduation in the year 2010 from Jadavpur University, one of the premier engineering institutes in India. Then I joined an oil marketing company and worked for 7 years, being posted at various places in India. In 2017, I left the job to progress my career in teaching and academics. Since then, I am completely involved in private tutoring and my academic works.
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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