Solving differential equations

Mathematica: Analytical (formal, symbolic)

In[2]:= DSolve[ {y'[t] == y[t], y[0]==1}, y[t], t ]

Out[2]= {{y[t]= Et }}

Numerical (&graphical)

NDSolve[{y'[t] == y[t], y[0] == 1}, y, {t, 0, 3}]

Plot[Evaluate[ y[t] /. % ], {t, 0, 3}]

y

t

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