Solving Differential Equations with Mathematica's Solver
(continued fromÌýlast page...)
The syntax you just asked for should have resulted in the following information:
?Integrate
We see that there are, in fact, four possible versions of theÌýIntegrateÌýcommand. The first one of these, "Integrate[f,x]", is the one we will need to solve our differential equation by separation of variables.
Now it's time to do some real work! We'll use theÌýIntegrateÌýcommand twice, applying it once to each side of our differential equation:
The command we would use for theÌýleftÌýhand side would be:
Look over this carefully! Details are important here! Use the correct case when typing it yourself, sinceÌýMathematicaÌýisÌýcase sensitive. Make sure you use brackets, parentheses and commas in the correct places.
I'll leave it up to you to figure out the command needed to integrate the right hand side. (Don't forget to useÌýyÌýinstead ofÌýx.)
Go ahead now and switch toÌýMathematicaÌýto carry out both integrations. Come back here to your browser when you are done.
Welcome back! Hopefully you were successful. Let'sÌýmove onÌýand discuss your results.
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