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CBSE Class 12-science Answered

11th sum plz
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Asked by lovemaan5500 | 20 Aug, 2019, 17:12: PM
answered-by-expert Expert Answer
According to the question,
begin mathsize 16px style dx over dt straight alpha space minus straight x fraction numerator begin display style dx end style over denominator begin display style dt end style end fraction equals negative kx Integrationg space on space both space sides space we space get straight x equals straight x subscript 0 straight e to the power of negative kt end exponent when space straight t equals 25 space years space then space straight x equals left parenthesis 100 percent sign space minus space 1.1 percent sign right parenthesis straight x subscript 0 equals 0.989 straight x subscript 0 0.989 straight x subscript 0 equals straight x subscript 0 straight e to the power of negative 25 straight k end exponent straight e to the power of negative straight k end exponent equals 0.989 to the power of 1 over 25 end exponent straight x equals 0.989 to the power of straight t over 25 end exponent straight x subscript 0 when space straight x equals 0.5 straight x subscript 0 0.5 straight x subscript 0 equals 0.989 to the power of fraction numerator begin display style straight t end style over denominator begin display style 25 end style end fraction end exponent straight x subscript 0 0.5 to the power of 25 equals 0.989 to the power of straight t straight t equals fraction numerator 25 ln 0.5 over denominator ln begin display style 0 end style begin display style. end style begin display style 989 end style end fraction equals 1566.65 space years space end style
Answered by Sneha shidid | 21 Aug, 2019, 10:04: 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, 16:59: 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, 22:26: PM
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CBSE 12-science - Maths
1st ques with explanation 
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Asked by lovemaan5500 | 16 Dec, 2019, 21:33: PM
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CBSE 12-science - Maths
11th sum plz
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Asked by lovemaan5500 | 20 Aug, 2019, 17:12: PM
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CBSE 12-science - Maths
14th sum plz
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Asked by lovemaan5500 | 20 Aug, 2019, 17:10: PM
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CBSE 12-science - Maths
Define differential equation.
Asked by Topperlearning User | 08 Oct, 2014, 13:42: PM
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CBSE 12-science - Maths
Define the order of a differential equation.
Asked by Topperlearning User | 04 Jun, 2014, 13:23: 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, 13:23: 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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