Mathematical problem

$$ \begin{align} u'(t) &= -au(t), \tag{1}\\ u(0) &= I, \tag{2} \end{align} $$

  • \( t\in (0,T] \)
  • \( a \), \( I \), and \( T \) are prescribed parameters
  • \( u(t) \) is the unknown function




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