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CBSE Class 12-science Answered

What is meant by the term "Variables" in differential equations?
 
Asked by Dasari Karunakar | 16 Sep, 2015, 02:18: PM
answered-by-expert Expert Answer
A space v a r i a b l e space i n space a space d i f f e r e n t i a l space e q u a t i o n space i s space a space t e r m space t h a t space c a n space t a k e space d i f f e r e n t space v a l u e s space s u c h space t h a t space i t space s a t i s f i e s 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 u a t i o n. F o r space e x a m p l e colon space fraction numerator d y over denominator d x end fraction equals K x i s space a space d i f f e r e n t i a l space e q u a t i o n space w i t h space t w o space v a r i a b l e s space apostrophe x apostrophe space a n d space apostrophe y apostrophe. apostrophe x apostrophe space i s space c a l l e d space t h e space i n d e p e n d e n t space v a r i a b l e space a n d space apostrophe y apostrophe space i s space c a l l e d space t h e space d e p e n d e n t space v a r i a b l e.
Answered by satyajit samal | 18 Sep, 2015, 12:23: 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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Asked by ashwinskrishna2006 | 24 Dec, 2023, 04:59: PM
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CBSE 12-science - Maths
Please refer to the uploaded image for the doubt.
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Asked by arjunsah797 | 22 May, 2022, 10:25: AM
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CBSE 12-science - Maths
sir i only need the correct option
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Asked by arijits949596 | 29 Apr, 2020, 10:26: PM
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CBSE 12-science - Maths
1st ques with explanation 
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Asked by lovemaan5500 | 16 Dec, 2019, 09:33: PM
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CBSE 12-science - Maths
11th sum plz
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Asked by lovemaan5500 | 20 Aug, 2019, 05:12: PM
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CBSE 12-science - Maths
14th sum plz
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Asked by lovemaan5500 | 20 Aug, 2019, 05:10: PM
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CBSE 12-science - Maths
Define differential equation.
Asked by Topperlearning User | 08 Oct, 2014, 01:42: PM
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CBSE 12-science - Maths
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
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CBSE 12-science - Maths
Find the order and degree of the differential equation: .
Asked by Topperlearning User | 04 Nov, 2016, 07:15: AM
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