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Math Help - First order linear Differential eq

  1. #1
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    First order linear Differential eq

    1. Find the solution to 2y'+y=x that goes through (-1;e-3)


    2. The Functions y(x) = lnx och x(v)=cosv, determine dy/dv

    How do I solve these problems?
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  2. #2
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    Quote Originally Posted by mayth View Post
    1. Find the solution to 2y'+y=x that goes through (-1;e-3)
    You need to use the integrating factor method. Firstly divide the equation through by 2 to give...

    y'+\frac{1}{2}y=\frac{x}{2}

    the condition (-1,e-3) will be used to solve the constant of integration once finished.

    Here is a different D.E solved with the integrating factor method. Have a look.

    http://www.mathhelpforum.com/math-he...equations.html
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  3. #3
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    Quote Originally Posted by mayth View Post
    2. The Functions y(x) = lnx och x(v)=cosv, determine dy/dv
    What are you tring to say here?
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