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Math Help - Differential equations

  1. #1
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    Differential equations

    I would really appreciate it if someone could help me with how to solve these two differential equations.

    1. ((dK)/(dt))=λ(P-K), given K(0)=0,2P

    2. (1/K)((dK)/(dt))=λ(P-K), given K(0)=0,2P
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  2. #2
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    Re: Differential equations

    Quote Originally Posted by GardsVision View Post
    I would really appreciate it if someone could help me with how to solve these two differential equations.

    1. ((dK)/(dt))=λ(P-K), given K(0)=0,2P
    \frac{dK}{P- K}= \lambda dt. Integrate.

    2. (1/K)((dK)/(dt))=λ(P-K), given K(0)=0,2P
    \frac{dK}{K(P- K)}= \lambda dt. Integrate. Use "partial fractions" on the left.

    I don't know what you mean by the ",2P".
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