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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

hey image attached please tell the method which is used in solution …..please sir .maam …..please anyone …...

Ans: Hello student, Please find the answer to your question below [t] = 0, 0 <=t < 1 [t] = 1, 1 <= t < 2 Now looking at the problem in hand There are total 100 term in L out of...

 Jitender Singh 11 months ago

sir is it greatest integer fn is used

 milind 11 months ago
If F(x)=f(x) + f(1/x) and f(x)= 1 ∫ x (ln(t)/(t+1))dt .Find F(e 2 )

Hi, The tough part is the integration here. Put lnt as k and substitute. Upon transforming integral into k k , seperate the numberator and integrate by parts. After the integration find F(X)...

 Yash Baheti 6 months ago

I found a simpler way to solve this ,than integration by parts.

 viswanath 6 months ago
Find the following integral ∫dx/(1+(tanx)^1/2) Limit is from pi/6 to pi/3 Please reply soon.

Dear student, We have the given integral given by: Hence, if we add I twice, we get: Regards Sumit

 Sumit Majumdar one year ago

 Jitender Singh one year ago
if p*x+q*y=p-q and q*x+p*y=p+q find the values of x and y

px + qy = p – q -----> Equation 1 qx + py = p + q -----> Equation 2 Add both the equations. px + qy + qx + py = p – q + p + q => p(x+y) + q(x+y) = 2p => (p+q)(x+y) = 2p => x+y = 2p/p+q...

 Ramvardhan 9 days ago
how to obtain your math notes.

You can purchace online from its website. Thanks.

 Vijay Mukati one month ago

certain notes are available free. you can also vist some other sites, where free notes of each subject is available. please surf the web to find such sites. it is better to get free notes...

 vindhya one month ago
Vertex of the parabola with focus (a,b) and directrix x/a + y/b = 1

The vertex would lie between the focus and the foot of the perpendicular from the focus to the directrix. Find the foot of perpendicular from the focus to the directri. The vertex will be...

 Ravi 9 months ago
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