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```				   Find the general solution of the differential equation:( (xlogx) dy/dx ) + y = (2/x) logx
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4 years ago

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```										This is solved by integrating factor method.$\frac{\mathrm{d} y}{\mathrm{d} x}+y/(xlog(x))=2/x^2 \\=>\int 1/xlog(x)dx=log(log(x)) \\=>e^{log(log(x))}(\frac{\mathrm{d} y}{\mathrm{d} x}+y/(xlog(x))=2/x^2) \\=>e^{log(log(x))}*y=\int e^{log(log(x))}/x^2dx=\int log(x)/x^2dx=-e^{-log(x)}+c$Should be enough.Arun KumarIIT DelhiAskiitians Faculty
```
one year ago

please send me the full solution with working for the attached question

Solution in the figure

 Riddhish Bhalodia 16 days ago
does limit of a function exist if its right hand limit exists but not left hand limit

Dear Student, for the limit of function to be exists, Both the Right hand and left hand limit should exists as well as they should be equal. Hence for the given case, limit will not exists....

 Vijay Mukati 3 months ago
what are the uses of integrals

Applications of Integration. 1. Applications of the Indefinite Integral . 2. Area Under a Curve by Integration. 3. Area Between 2 Curves using Integration. 4. Volume of Solid of Revolution...

 venky 5 months ago
Find the sum to n terms of the series 1/(1+1^2+1^4)+ 2/(1+2^2+2^4) + 3/(1+3^2+3^4) +.........

The general term is t n = n/(1+n 2 +n 4 ) = ½ [1/(n 2 -n+1) – 1/(n 2 +n+1)] Also n 2 +n+1 = (n+1) 2 -(n+1)+1. So, the summation may be written as ½ [1/1 2 -1+1) – 1/(2 2 -2+1)] + ½ [1/(2 2...

 mycroft holmes 4 months ago
solve the problem

 DURGARAM 5 months ago

let A 1 , A 2 , A 3 , A 4 ......A n be n Arithmetic means are instead between 20 and 80. i.e., 20 , A 1 , A 2 , A 3 , A 4 ......A n 80. ∴ The Arithmetic Progression consist of ' n + 2...

 RAKESH CHINDAM 4 months ago

let A 1 , A 2 , A 3 , A 4 ......A n be n Arithmetic means are instead between 20 and 80. i.e., 20 , A 1 , A 2 , A 3 , A 4 ......A n 80. ∴ The Arithmetic Progression consist of ' n + 2...

 manmath 11 days ago

hi bollu srinivas.. The Arithmetic Progression consist of ' n + 2 'terms.let 'd' be the common difference.The first term a = 20The last term L = 80.but the last term is T n + 2 = a + (n + 2 ...

 T.kumar one month ago
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