```                   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
```
5 months ago

More Questions On Differential Calculus

Post Question

Vouchers
To Win!!!
I made a circle in attachment …. .here theta = cos -1 x ...Lekin usne fir bhi theta ki value nhi rakhi ….wo theta ki value rakh ke bhi to x ke respect differential kar sakta tha …..please...

Hello student, Please find answer to your question Yes, you can do by both ways. The one which is done in the question is easy & less confusing. You can do by directly putting the value...

 Jitender Singh 3 months ago
what is calculus ??please explain it briefly.

Ans: Hello student, Please find the answer to your question below Calculus is the mathematical study of change . It has two major barnches differential calculus (concerning rates of change...

 Jitender Singh one month ago

Dear student, Calculus is the branch of Mathematics which helps in computing results for dynamical systems. Calculus helps one in finding how one physical quantity varies as a function of...

 Sumit Majumdar one month ago
solve this

Clearly this is 0/0 form So applying L Hospital’s Rule Lim ( log3.3 x – log2.2 x )/( log4.4 x - log3.3 x ) ( differentiation of a x = a x .loga) x->0 = (log3-log2)/(log4-log3)...

 Harsh Patodia one month ago
is pair of straight lines and family of lines in the syllabus of jee advanced 2014

Yes you should get yourself prepared with both the topics.Vinti SinghaiB.E in Elec & comm(Honors), Gold Medalist in Mathematics

 Vinti Singhai one year ago

yes...!

 JAYAVARDHAN BAIRABATHINA one year ago
prove that a(cosC-cosB)=2(b-c)cos^2(A/2)

Hello student, Please find the answer to your question below a/ 2(b-c) = cos^2(A/2)/ (cosC-cosB) lhs = a / 2 (b – c ) Now use sine rule a/ sinA = b/ sinB = c/ sinC = k So, lhs = a / 2...

 Nishant Vora one month ago
If X & Y are 2 x 2 matrices with integer elements such that X 3 +Y 3 = A, then find the det (X + Y): for A see attachement

by verification (trial and error) we can find that X = [ -1 0; 0 -1] & Y = [0 1; 0 -1]. det (X + Y) = 2

 Y RAJYALAKSHMI 3 months ago
View all Questions »