MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

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

Share

Answers : (1)

                                        
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 & Regards


Sumit Majumdar,


askIITians Faculty


Ph.D,IIT Delhi

10 months ago

Post Your Answer

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
Q . PLEASE HELP ME EVALUATE THE GIVEN LIMIT AS A SUM......( PIC IS ATTACHED)
 
 
Hi Student I am not able to see any attachment. Please check it again and post it again....
  img
Harsh Patodia 6 months ago
 
SIR ATLEAST PLEASE ANSWER OTHER PROBLEMS.............
 
Bharat Makkar 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 6 months ago
 
divide num and denom. by x^2, then substitute ax + b/x = t.
 
Nihal Raj 6 months ago
 
thanks
 
Bharat Makkar 6 months ago
evaluate the following integral ∫ 1 / x(3 + log x) dx
 
 
Ans: Hello student, Please find the answer to your question below
  img
Jitender Singh 7 months ago
If 3(siny – cosx) = 4(sinx + cosy), prove that sin3x / cos3y = 1
 
 
Ans:Hello student, please find answer to your question
  img
Jitender Singh 9 months ago
 
Can you please explain how did you get the last step?
 
Y RAJYALAKSHMI 9 months ago
if A vector travels 3ms -1 and B vector travels 4ms -1 Find | R | after an minute? if their direction between A and B is 76 degree.
 
 
Solution: The formula for finding the resultant would be given by: This results into: Hence the answer is 4.38 m in 1 sec. So, in 1 min, the distance covered would be equal to 262.86 m....
  img
Sumit Majumdar 10 months ago
 
Hello lets assume a=3i b=4cos76i+4sin76j so a+b=(3+4cos76)i+4sin76 for position vector just mulitply by 60 Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 10 months ago
View all Questions »