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                   If y is a function of x then  (d2y/dx2) + y.(dy/dx) = 0.  If x is a function of y , then what does the same differential equation become ?


3 years ago

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                                        Solution:Let us assume a solution of the original differential equation as:$y=e^{ax}$Hence the given differential equation becomes:$a^{2}e^{ax}+ae^{2ax}=0 \Rightarrow e^{ax}=-a \Rightarrow y=\frac{logy}{x} \Rightarrow y^{1/y}=e^{x}$Thanks & RegardsSumit Majumdar,askIITians FacultyPh.D,IIT Delhi

one year ago

Integrate from 0 to infinity ∫[3/(x 2 +1)] dx [] denotes the greatest integer function..

 Jitender Singh one year ago

Thank u Jitender Sir.

 Lovey one year ago
∫e -( x*x) dx=?

there is no elementary integral for the given funciton. Pl. check the following link for further workings. http://en.wikipedia.org/wiki/Gaussian_integral

 Y RAJYALAKSHMI one year ago

Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify

 Y RAJYALAKSHMI one year ago

Is this ∫e -( x 2 ) dx or ∫e -( x x ) dx pl. specify

 Y RAJYALAKSHMI one year ago
evaluate the following integral ∫ e^(x) + 1 / e^(x) + x dx

 Jitender Singh one year ago

 Jitender Singh one year ago
Pl provide soln to the attached image!!

a n = Limit x 2 *(f(a n-1 /x) – f(0)) 2 , a n /a n-1 2 = Limit [ [ f(a n-1 /x) – f(0) ]/[ a n-1 /x – 0] ] 2 a n /x will be tendind to 0 as x tends to inf. hence RHS = f’(0) 2 So, an/an-1^2...

 Akshay 3 months ago
p+q=4,p=0.q=?

4

 praveen one month ago

4

 charan one month ago

4

 RAJU one month ago
consider a square of each side length a,, inscribe a circle in the square of radius a units, how much bigger the square than circle?

A circle with a radius cannot be inscribed in a square with side length a.

 Akshay 2 months ago
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