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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
```
2 years ago

Suppose f is a differentiable function on the interval [ 0 , 2 ] [0,2 ]and the derivative does not vanish at any point in that interval. Then f f can only have extrema at x = 0 x=0 or x=2....

TRUE, SINCE THE FUNCTION derivative does not vanish at any point in that interval. SO THERE IS NO POSSIBLE TO DETERMINE CRITICAL POINTS.AND THERE IS NO CRITICAL POINTS OF THE FUNCTION WE...

 PASUPULETI GURU MAHESH 2 months ago
Can I get admission in NIT if I have got 90 Marks in jee main and 86.5%in kerala hse board and also I belongs to obc

IM SORRY FRIEND I DONT WANT TO HURT U BUT THERE IS NO CHANCE OF NIT ON THIS SCORES BUT DO NOT LOOSE HOPE u can also easily get any of good central government college OR STATE GOVT COLLEGE U...

 Krishna Bondriya 13 days ago
can someone tell me where is monotonicity part in the book M.L. Khanna. I’m unable to solve questions of monotonicity.

Monotonocity part in Ml khanna is in chapters like derivatives,differentiations etc

 Charchit Tailong 9 months ago
Suppose √9 − 8 cos 40◦ = a + b sec 40◦, where a and b are rational numbers. Then |a + b| equals?

Vikas yadav , according to answer key, right answer is 2 not 3 . i’m also confused! any other method you have

 2016 years ago

In question like this always put x= e t and the question will jsut become very simple.

 Harsh Patodia 3 months ago
what are some important value we can earn in studying arithmetic progression and geometric progression

Understanding AP and GP will let you understand how the series can be solved easily which increases or decreases by the fixed ratio or distance. Thanks

 Vijay Mukati 10 months ago
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