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Unit 8: Formation of Differential Equation

Notes
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x
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8. Form the differential equation from the relation xy = Ae + Be , where A and B are arbitrary
constants.
9. Form the differential equation of all ellipses with centers at the origin.
x
10. Form the differential equation of the family of curves y = e (A cosx + B sinx), where A and
B are arbitrary constants.
Answers: Self Assessment

1. differential equation 2. independent
3. mathematical 4. False

5. partial 6. ordinary
7. two or more 8. parameter or arbitrary constant
9. elimination 10. two
11. second 12. n th

13 . differentiation 14. True
15. False

8.7 Further Readings

Books D.A. Murray, Introductory Course in Differential Equations, Orient Blackswan.
Dr. Sanat Kumar Adhikari, Sanat Adhikari, Basics of Professional Mathematics,
Firewall Media.
Zafar Ahsan, Differential Equations and their Applications, PHI Learning Pvt. Ltd.

Online links www.purecoder.net

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