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Differential Equation - Department of Applied Sciences & Engineering

This presentation is on Differential Equation and is presented by Prof. Suvarna Bhagwat, of the department of Applied Sciences & Engineering at Hope Foundationu2019s International Institute of Information Technology, Iu00b2IT. The presentation goes through topics like Order and Degree of differential equation along with examples

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Differential Equation - Department of Applied Sciences & Engineering

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  1. Differential Equation • Prof. SuvarnaBhagwat • Assistant Professor • Department of Applied Sciences & Engineering • Hope Foundation’s • International Institute of Information Technology, I²IT

  2. ORDER & DEGREE ORDER OF DIFFERENTIAL EQUATION Definition: Order of differential equation is the order of highest order derivative in differential equation. Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  3. Example: Order of highest order derivative =2 Order of differential equation=2 Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  4. DEGREE OF DIFFERENTIAL EQUATION Definition: The degree of differential equation is the degree of highest order derivative free from radicals and fractions. Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  5. Example: Degree of highest order derivative =1 Degree of differential equation=1 Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  6. Exercise: Find the order & degree of differential equation Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  7. FORMATION OF DIFFERENTIAL EQUATION FROM GENERAL SOLUTION 1. If general solution contains ‘n’ no. of constants then differentiate equation ‘n’ no. of times. (No.of differentiation = No.ofarbitraray constants) 2.Elliminate the arbitrary constants. Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  8. Example • Form the differential equation whose general solution is Sol. Given Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  9. Hope Foundation’s International Institute of Information Technology, I²IT, P-14 Rajiv Gandhi Infotech Park, Hinjawadi, Pune - 411 057 Tel - +91 20 22933441 / 2 / 3 | Website - www.isquareit.edu.in ; Email - info@isquareit.edu.in

  10. For details, please contact SuvarnaBhagwat suvarnab@isquareit.edu.in Department of Applied Sciences & Engineering Hope Foundation’s International Institute of Information Technology, I²IT P-14,Rajiv Gandhi Infotech Park MIDC Phase 1, Hinjawadi, Pune – 411057 Tel - +91 20 22933441/2/3 www.isquareit.edu.in | info@isquareit.edu.in

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