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

2 years ago

Share

```                                        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
```
3 months ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!
Find integral solution to the eqation [x][y]=x+y. show that all non-integral solution lie on exactly two lines. determine these lines. Thanks

[x]=x- frac(x)= x-x’ [y]=y-frac(y) =y-y\ [x][y]=(x- frac(x))(y-frac(y) ) xy- xy’- x’y-x’y’ = x+y xy- xy’- x’y-x’y’ – x- y is...

use induction principle to verify for n=1 = 5+1/1 + 0/1=6 2+4=6 means for n=1 it is correct , lets prove assume it true for n, and try to prove for n+1.

 Jitender Singh 2 months ago

 Jitender Singh 2 months ago
Differential of log^n x

Ans: It is a zero by zero form, so apply L’Hospital rule Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty

 Jitender Singh 2 months ago
is rigorous number theory and combinatorics nedded for iitjee???????

Hello student, Please find the answer to your question below Number theory forms the basis of many questions in IIT JEE. but u may not find many questions in IIT JEE only on number theory...

 SHAIK AASIF AHAMED one month ago
evaluate ∫ sqrt(1+cos2x / 2) dx