Can Maple and Mathematica solve differential equations directly?

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JasonJo
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can Maple and Mathematica solve differential equations if i just type them in? I am having some trouble with about 20-30 differential equations
 
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I'm pretty sure Mathematica can solve most any "tame" ordinary differential equation and will give you an algebraic (symbolic) result. A TI-89 graphing calculator will also do the same thing, though it might be slightly less capable.