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USE CODE: EXAM25

				   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 ?


4 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

what are improper integrals? and what are the convergence of improper integrals ? why we want to study about this one ? where it will used?

IMPROPER INTEGRALS ARE THE DEFINITE INTEGRALS.IN IMPROPER INTEGRALS BOTH LIMITS OR UPPER OR LOWER LIMIT IS INFINITE IN THIS INTEGRATION THE VALUE WILL BE FINITE THAT IS CALLED CONVERGENT

 RAMCHANDRARAO one month ago

An improper integral is a definite i ntegral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration.

 KALYAN one month ago

Dear Shivanand, Improper integral is definite integral which an infinite in lower and upper limits.And it can be solve from taking limits only.

 SAI SARDAR one month ago
integration of (e/x ) x +(x/e) x

 jagdish singh singh 3 months ago
Respected sir / madam I need value of ∫ sin^4x / sin^4x+cos^4x

 jagdish singh singh 2 months ago
draw the graph of sin(1/x).

the graph of sin -1 x is a curve with order pairs (0,0),(-1,1.5),(1,1.5)................so on

 vivek 6 months ago
which book is best for preparing iit exams nd board exams of maths

Please refer to our website to see the complete list of books to be refered for each subject topic wise. Thanks.

 Vijay Mukati 6 months ago
cot(a+b)

cota cotb-1/cota+cotb

 venky 5 months ago

cota cotb-1/cota+cotb

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