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    mathsstudent Posts: 15, Reputation: 1
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    #1

    Jun 2, 2013, 10:05 AM
    method of variation
    Using method of variation find solution of y''+2iy'-y=e^x-2e^ix
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    #2

    Jun 2, 2013, 10:07 AM
    laplace transformation method
    Find the solution of x^2y''+xy'-3y=0 with y(0)=1,y'(0)=0 using laplace transform method?
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    #3

    Jun 2, 2013, 10:09 AM
    general integral
    Find the general integral of (x-y)p+ 9(y-x-z)q=z which passes through the circle x2+y2=1,z=1?
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    #4

    Jun 2, 2013, 10:15 AM
    convergence of limit of function
    Give an example of a continuous function f with the property that∑[n=1,∞,f(n)] converges and ∫[0,∞,f(x),] diverges
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    #5

    Jun 2, 2013, 10:23 AM
    limit and continuity
    Let f be real,continuously differentiable function on [a,b],f(a)=0=f(b) and ∫[a,b,f^n(x),]=1. Show ∫[a,b,xf(x)f'(x),]=-1/2
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    #6

    Jun 2, 2013, 10:25 AM
    limit and continuity
    Show e^-x is uniformly continuous on R^1
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    #7

    Jun 2, 2013, 10:25 AM
    You have 5 posts. We won't do your homework for you here. Post your attempt and then someone will come along to help you.
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    #8

    Jun 2, 2013, 10:26 AM
    real analysis
    Let E be adense subset of ametric space X and let f be uniformly continuous function on E.Prove f has continuous extension from E to X
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    #9

    Jun 2, 2013, 10:28 AM
    real analysis
    Is (a,b) open on R^2
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    #10

    Jun 2, 2013, 10:30 AM
    Real analysis
    Construct a component set of real numbers with a countable set of limit points
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    #11

    Jun 2, 2013, 10:33 AM
    Laplace
    Construct a bounded set of a real numbers with exactly three limit points
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    #12

    Jun 2, 2013, 10:37 AM
    Algebra
    An integral domain R with unity is a U.F.D if and only if every non zero ,non unit element is a Finite product of primes
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    #13

    Jun 2, 2013, 10:38 AM
    We won't do your work for you. Please post your attempts.
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    #14

    Jun 2, 2013, 10:39 AM
    Algebra
    If W is the subspace of R^5 spanned by v1=(2,-2,3,4,-1) v2=-(1,1,2,5,2 ) v3=(0,0,-1,-2,3 ) v4=(1,-1,2,3,0) determineA(W?
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    #15

    Jun 2, 2013, 10:44 AM
    Algebra
    Let T be a linear operator on finite dimensional vector space over F.Suppose that the minimal polynomial for T decomposes over F in to a product of linear polynomials.Show that there exits a diagonalizable operator D on V and a nilpotent operator N on V suchthat T=D+N and DN=ND
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    #16

    Jun 2, 2013, 10:52 AM
    real analysis
    If f is a C'-mapping of an open set A is proper subset of R^n in to R^n and if f'(x) is invertible for every x belongs to A.Then prove that f(U) is open subset of R^n for every open set U is proper subset of A
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    #17

    Jun 2, 2013, 10:57 AM
    real analysis
    Let{fn} be a sequence of continuous functions which converges uniformly to a function f on a set A.Then prove that lim[n:∞,]fn(xn)=f(x) for every sequence of a points xn belongs to A such that xn tends to x,and x belongs to A.Is the converse of this true?Explain with example

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