Solving Differential Equations


In[25]:= DSolve[y'[x] == a y[x], y[x], x]
                    a x
Out[25]= {{y[x] -> E    C[1]}}

In[26]:= DSolve[ {y'[x] == a y[x], y[0] == 1}, y[x], x]
                    a x
Out[26]= {{y[x] -> E   }}

In[37]:= NDSolve[{y'[x] == y[x], y[3] == 1}, y, {x, 0, 2}]
Out[37]= {{y -> InterpolatingFunction[{0., 3.}, <>]}}
In[38]:= Plot[Evaluate[y[x] /. %], {x, 0, 2}]
Out[38]= -Graphics-  ***SEE FIGURE 1***

http://math.arizona.edu/~swig/documentation/mathematica/solve_diff_eqns.php
Last modified: Fri, 14 Dec 2007 15:50:52 -0700
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