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CBSE Class 12-science Answered

Find the order and degree of the differential equation: .
Asked by Topperlearning User | 04 Nov, 2016, 07:15: AM
answered-by-expert Expert Answer

T h e space g i v e n space e q u a t i o n space i s space y equals x fraction numerator d y over denominator d x end fraction plus square root of a squared open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared plus b squared end root rightwards double arrow space y minus x fraction numerator d y over denominator d x end fraction equals square root of a squared open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared plus b squared end root s q u a r i n g space o n space b o t h space s i d e s space w e space g e t open parentheses space y minus x fraction numerator d y over denominator d x end fraction close parentheses squared equals a squared open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared plus b squared equals y squared plus x squared open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared minus 2 x y fraction numerator d y over denominator d x end fraction equals a squared open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared plus b squared equals y squared plus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared left parenthesis x squared minus a squared right parenthesis minus 2 x y fraction numerator d y over denominator d x end fraction minus b squared equals 0 F r o m space t h e space a b o v e space e q u a t i o n space w e space c a n space s e e space t h a t space t h e space h i g h e s t space d e r i v a t i v e space t e r m space i s fraction numerator d y over denominator d x end fraction space w i t h space h i g h e s t space p o w e r space o f space 2 space s o space t h e space g i v e n space d i f f e r e n t i a l space e q a u t i o n space h a s space o r d e r space 1 space a n d space d e g r e e space 2.

 
Answered by | 04 Nov, 2016, 09:15: AM

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CBSE 12-science - Maths
the question is given in the attachment in case the attachment is not appearing i have mentioned this question: Solve the differential equation yexydx=⎛⎜⎝xexy+y2⎞⎟⎠ dy. (toppr.com) in this question they have solved the differential equation by substituting v = x/y, but as of my knowledge, this substitution can be made only for zero order homogeneous differential equations, yet the answer they got is correct and is verified by calculator, so does this mean that we can appl this substitution to any differential equation? PS: in some sites they have solved this question by other methods and they have specified substituting v = x/y wont work here as this is not a homogenous differential equation. So can you clarify what is the correct way to solve this question, THANK YOU!
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Define differential equation.
Asked by Topperlearning User | 08 Oct, 2014, 01:42: PM
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Define the order of a differential equation.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find the order and degree of the differential equation: .
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Find the order and degree of the differential equation: .
Asked by Topperlearning User | 04 Nov, 2016, 07:15: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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