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Math Help - 2nd order differential equation

  1. #1
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    2nd order differential equation

    please help me...its for my project!!!
    thanks in advance
    solve for U(x,t), note that U=U(x,t)
    Delta(Ut) + 0.1 Delta(Ux) = 0.2 Delta( Uxx)
    .
    .
    .
    .
    .
    Answer: U(x,t) = Exp (1.17712434x 0.09t), Exp--> exponential
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  2. #2
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    Quote Originally Posted by nirvanakris View Post
    please help me...its for my project!!!
    thanks in advance
    solve for U(x,t), note that U=U(x,t)
    Delta(Ut) + 0.1 Delta(Ux) = 0.2 Delta( Uxx)
    "Delta" is not standard notation. better would be just "U_t+ 0.1U_x= .2U_xx
    .
    .
    .
    .
    .
    Answer: U(x,t) = Exp (1.17712434x 0.09t), Exp--> exponential
    If you give no initial or boundary conditions, it is impossible to get that! Tell us what the problem really says.
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    "Delta" is not standard notation. better would be just "U_t+ 0.1U_x= .2U_xx
    .

    If you give no initial or boundary conditions, it is impossible to get that! Tell us what the problem really says.
    sory, ive forgot the boudaries...in fact the boudaries are given as :
    o<=x<=1, t>=0 thanks in advance!!
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  4. #4
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    Quote Originally Posted by HallsofIvy View Post
    "Delta" is not standard notation. better would be just "U_t+ 0.1U_x= .2U_xx
    .

    If you give no initial or boundary conditions, it is impossible to get that! Tell us what the problem really says.
    sory, ive forgot the boudaries...
    so the problem is actually U_t+ 0.1U_x= .02U_xx and the boudaries are given as :
    o<=x<=1, t>=0 thanks in advance!!
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