# Need help with DSolve inside Manipulate

**URL:** <https://community.wolfram.com/t/need-help-with-dsolve-inside-manipulate/2115>\
**Category:** Questions\
**Tags:** mathematica, calculus, equation-solving, interface-construction\
**Created:** [May 2, 2014, 7:47pm UTC](https://community.wolfram.com/t/need-help-with-dsolve-inside-manipulate/2115 "2014-05-02T19:47:38Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![aronzy87](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/aronzy87/32/20381_2.png) [@aronzy87](https://community.wolfram.com/u/aronzy87)\
**Post date:** [May 2, 2014, 7:47pm UTC](https://community.wolfram.com/t/need-help-with-dsolve-inside-manipulate/2115/1 "2014-05-02T19:47:38Z")

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After coming out with this system of equations (see insert) , I have been trying to use Wolfram Mathematica 9.0 to solve the systems and plot the curves using Manipulate so that I can have interactive sliders to manipulate the parameters but I haven’t been able to do that.  
Please, I need your help with the Coding and Simulation of the Model in Mathematica 9.0.  
Please find attached the system of differential equations.

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**Author:** ![sukrause](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/sukrause/32/41348_2.png) [@sukrause](https://community.wolfram.com/u/sukrause)\
**Post date:** [May 3, 2014, 7:40pm UTC](https://community.wolfram.com/t/need-help-with-dsolve-inside-manipulate/2115/2 "2014-05-03T19:40:07Z")

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… the manual helps … it is something like

```auto
DSolve[{D[S[t], t] == \[Alpha] - \[Beta] S[t] H[t] - \[Mu] S[t],
  D[H[t], t] == \[Beta] S[t] H[t] - (\[Gamma] + \[Lambda] + \[Mu]) H[t],
  D[T[t], t] == \[Lambda] H[t] - \[Mu] T[t],
  D[A[t], t] == \[Gamma] H[t] - (\[Delta] + \[Mu]) A[t](* initial conditions *)}, {S[t], H[t], T[t], A[t]}, t]

```

if you must go to numerical solutions (NDSolve[]), the coefficients must be specified … the I is reserved for the imaginary unit in Mma, so use e.g. H instead of I

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<div class="post-metadata">

**Author:** ![aronzy87](https://yyz1.discourse-cdn.com/wolfram/user_avatar/community.wolfram.com/aronzy87/32/20381_2.png) [@aronzy87](https://community.wolfram.com/u/aronzy87)\
**Post date:** [May 6, 2014, 8:41am UTC](https://community.wolfram.com/t/need-help-with-dsolve-inside-manipulate/2115/3 "2014-05-06T08:41:08Z")

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thanks for the help!