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CBSE Class 12-science Answered

F i n d space t h e space s u m space o f space o r d e r space space a n d space d e g r e e space o f space t h e space d i f f e r e n t i a l space e q u a t i o n colon fraction numerator d over denominator d x end fraction open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses squared equals 0Please provide solution to this question
Asked by Topperlearning User | 04 Nov, 2016, 07:07: PM
answered-by-expert Expert Answer

fraction numerator d over denominator d x end fraction open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses squared equals 0 rightwards double arrow 2 fraction numerator d squared y over denominator d x squared end fraction fraction numerator d over denominator d x end fraction open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses equals 0 rightwards double arrow 2 fraction numerator d squared y over denominator d x squared end fraction open parentheses fraction numerator d cubed y over denominator d x cubed end fraction close parentheses equals 0 T h e space h i g h e s t space o r d e r space d e r i v a t i v e space t e r m space i s space fraction numerator d cubed y over denominator d x cubed end fraction space w h o s e space p o w e r space i s space 1 S o space o r d e r equals 3 comma d e g r e e equals 1 space s u m equals 4

Answered by | 04 Nov, 2016, 09:07: PM

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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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CBSE 12-science - Maths
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Define differential equation.
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Define the order of a differential equation.
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CBSE 12-science - Maths
Find the order and degree of the differential equation: .
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