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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

limit of n! where n tends to infinite

limit of n! where n tends to infinite proof

 samanu anusha 2 months ago

limit of n! where n tends to infinity

 samanu anusha 2 months ago

the value is infinite

 sri tanish 2 months ago
please tell me a book for integration which help me in deep studies hurry

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GN BERMAN (russian author) this book consist of all types of questions the book might cost you 100 or you can prefer errrorless book approve if useful

 Gman Namg 6 months ago

is this book will be correct

 Gman Namg 6 months ago
Q . PLEASE INTEGRATE THE FUNCTION WHOSE PIC IS ATTACHED.....

divide num and denom. by x^2, then substitute ax + b/x = t.

 Nihal Raj one year ago

divide num and denom. by x^2, then substitute ax + b/x = t.

 Nihal Raj one year ago

thanks

 Bharat Makkar one year ago
A PARTICLE STARTS MOVING WITH INITIAL VELOCITY 5m/s.IT IS ACCELERATING WITH A CONSTANT ACCELERATION 2m/sec(square) AT AN ANGLE 120(DEGREE) WITH THE DIRECTION OF INITIAL VELOCITY.FIND THE...

Dear Bharat Just assume the axes as X-axis along the initial direction of of motion and Y-axis being perpendicular to it. The provided acceleration has its components as a x = -1m/s 2 and a ...

 shashi K Sharma one year ago
If the line y=√3 x+k touches the circle x^2+y^2=16 then what is the value of k ??

The line is a tangent to the circle, find the distance of C(0,0) from that line which will be equal to 4i.e radius. ans 8,-8

 Sid 3 months ago
Find the lenght and equation of the line of shortest distance between the lines x-3/1=y-5/-2=z-7/1 and x+1/7= y+1/-6=z+1/1 Full steps please?

The shortest distance between the lines (x – x 1 )/l 1 = (y – y 1 )/m 1 = (z – z 1 )/n 1 & (x – x 2 )/l 2 = (y – y 2 )/m 2 = (z – z 2 )/n 2 is given by l(x 2 – x 1 ) + m(y 2 – y 1 ) + n(z 2 ...

 Y RAJYALAKSHMI 11 months ago
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