Results 1 to 2 of 2

Math Help - using k as a constant

  1. #1
    Newbie
    Joined
    Apr 2008
    Posts
    24

    using k as a constant

    If dP/dt=.075P,
    Find a formula for P in terms of t if P(0)=500.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by sandiego234 View Post
    If dP/dt=.075P,
    Find a formula for P in terms of t if P(0)=500.

    Thanks
    \frac{dP}{P}=.075dt

    integrate both sides to get

    ln|P|=.075t+c \iff P=e^{.075t+c}=e^{c}\cdot e^{.075t}

    P=Ae^{.075t}

    Just plug in the intial condition and your done.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Constant R.V
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 19th 2010, 09:44 AM
  2. Constant
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: April 6th 2010, 08:28 PM
  3. Value of the constant
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 29th 2009, 04:14 PM
  4. given f(x) and dy/dx with constant * f(x). K is?
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 10th 2008, 05:46 AM
  5. Replies: 5
    Last Post: February 29th 2008, 02:05 PM

Search Tags


/mathhelpforum @mathhelpforum