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

3 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
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one year ago

How to prove that 1 is the max value of cos(cosx) through APPLICATION OF DERIVATIVES.

let f(X)=cos(cosx) then derivative of f(x) is -sin(cosx)*-sinx= sin(cosx)*sinx for maxima or minima derivative =0 hence sinx=0 or sin(cosx)=0 calculate the values of x now double derivative ...

 Himanshu 25 days ago
question is …....f(x+y)=f(x)+f(y) is a odd function prove..... i added image of solution of this question .please help me to understand solution …..i cant understand the solution which give ...

Ans: Hello Student, Please find answer to your question below Solution which you attached is little bit complicated. So I am gonna do this by an easier method. By definition, Since f(0) = 0,...

 Jitender Singh one year ago

….…..then ….…....then sir i can not understand this step please explain again fully

 milind one year ago

sir i can not understand this step please explain again fully

 milind one year ago
differentiate x arcsinx w.r.t arcsinx

The question can be expressed as “ differentiate (x arcsinx wrt x)/ (differentiate arcsinx wrt x)

 Jayakrishna 4 months ago
rank of matrix ?

The number of non-zero rows in the row reduced form of a matrix is called the row-rank of the matrix.

 Vijay Mukati 3 months ago

the no. of non zero rows in a matrix is called as rank of a matrix ….it is determined by echelon form

 kalyan 2 months ago
How many times is 25 written when listing all numbers from 1 to 100 000 ?

102

if the line lx + my = 1 touches the circle x 2 + y 2 = a 2 Then the point (l , m) lies on the circle (a) a 2 (x 2 +y 2 ) = 4 (b) a 2 (x 2 +y 2 ) = 3 [c] a 2 (x 2 +y 2 ) = 2 (d) a 2 (x 2 +y...

Follow the equation of tangent to the circle. Compare l and m. Get values. Again put l and m in the equations.

 Charchit Tailong 3 months ago
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