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How do you solve a Differential equation for beginners

  1. Mar 24, 2008 #1
    how do you solve a Differential equation ?

    for example how do you solve this




    d/dt y(t)=t^2 y(t)

    step by step help would be appreciated where + w2x = 0 is suppose to be in between d^x and dt^
     
    Last edited: Mar 24, 2008
  2. jcsd
  3. Mar 24, 2008 #2
    What are [ U] and [ /U] tags ?

    Use [ tex] and [ /tex] for latex. The equation is not visible.
     
  4. Mar 24, 2008 #3
    I don't get it.

    Latex Help


    Rules
     
  5. Mar 24, 2008 #4

    rock.freak667

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    Homework Helper

    What you want to solve is
    [tex]\frac{dy}{dt}=t^2y[/tex]
    You can rearrange this into
    [tex]\frac{1}{y}\frac{dy}{dt}=t^2[/tex]
    You can now integrate both sides with respect to t.
     
  6. Mar 24, 2008 #5
    how do you integrate it ? please tell me how
     
  7. Mar 24, 2008 #6

    rock.freak667

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    Homework Helper

    [tex]\int \frac{1}{y}\frac{dy}{dt} dt= \int t^2 dt[/tex]

    and this is the same as:

    [tex]\int \frac{1}{y}dy= \int t^2 dt[/tex]

    Can you integrate this now?
     
  8. Mar 24, 2008 #7
    [tex]\int \frac{1}{y}dy = \int t^2dt[/tex]

    And carry on from there.

    Whoops, someone beat me.
     
  9. Mar 24, 2008 #8
    what are the rules of integrating
     
  10. Mar 24, 2008 #9
    You can look up integration rules on the internet. Integrating is undoing the derivative, ie. finding the antiderivative.
     
  11. Mar 24, 2008 #10
    wheres the best site to learn it from ? where did you learn it from
     
  12. Mar 24, 2008 #11
    I learned it through a high school calculus course. If you don't know how to integrate, I suggest you ask your professor/teacher.
     
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