How to set up a lake pollution problem that can be modeled by a second order linear equation?












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For my differential equations class, my assignment is to create a lake pollution problem that can be solved as both a second order ODE or as a system of first order ODEs. So my question is, how many inputs/outputs would this lake need to have in order to be a second order equation and not a first order?



Would I need a river bringing in clean water, a river draining the lake, and a source of pollution? Or could I just have a polluted river flowing into the lake and another river draining the lake?



Thank you in advance










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    $begingroup$


    For my differential equations class, my assignment is to create a lake pollution problem that can be solved as both a second order ODE or as a system of first order ODEs. So my question is, how many inputs/outputs would this lake need to have in order to be a second order equation and not a first order?



    Would I need a river bringing in clean water, a river draining the lake, and a source of pollution? Or could I just have a polluted river flowing into the lake and another river draining the lake?



    Thank you in advance










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      For my differential equations class, my assignment is to create a lake pollution problem that can be solved as both a second order ODE or as a system of first order ODEs. So my question is, how many inputs/outputs would this lake need to have in order to be a second order equation and not a first order?



      Would I need a river bringing in clean water, a river draining the lake, and a source of pollution? Or could I just have a polluted river flowing into the lake and another river draining the lake?



      Thank you in advance










      share|cite|improve this question











      $endgroup$




      For my differential equations class, my assignment is to create a lake pollution problem that can be solved as both a second order ODE or as a system of first order ODEs. So my question is, how many inputs/outputs would this lake need to have in order to be a second order equation and not a first order?



      Would I need a river bringing in clean water, a river draining the lake, and a source of pollution? Or could I just have a polluted river flowing into the lake and another river draining the lake?



      Thank you in advance







      ordinary-differential-equations mathematical-modeling






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      share|cite|improve this question













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      edited Nov 24 '18 at 22:22









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      asked Nov 24 '18 at 22:03









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