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Math Help - I need help

  1. #1
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    I need help

    I need help on this problem.. i think its suppose to be simple but i don't know how to get the answer.

    the problem is:
    solve the initial-value problem 2t^2y''+3ty'-y=0; y(1)=2,y'(1)=1

    the answer is y(t)=2(t^1/2)

    thank you
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  2. #2
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    Quote Originally Posted by blazingwes View Post
    I need help on this problem.. i think its suppose to be simple but i don't know how to get the answer.

    the problem is:
    solve the initial-value problem 2t^2y''+3ty'-y=0; y(1)=2,y'(1)=1

    the answer is y(t)=2(t^1/2)

    thank you
    in your lecture notes look for "Euler differential equation." if you have no lecture notes, then Google it.
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    See here.
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  4. #4
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    Quote Originally Posted by Chris L T521 View Post
    See here.
    Off topic, but Chris, your avatar is hilarious!
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  5. #5
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    hmm if i did it that way.. why was i given y(1)=2,y'(1)=1????
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  6. #6
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by blazingwes View Post
    hmm if i did it that way.. why was i given y(1)=2,y'(1)=1????
    What you usually find first when you solve a differential equation is the general solution (with arbitrary constants). The initial conditions are given so you can find the constants c_1 and c_2 from the general solution.
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