Differential Equations: Problem Set 3

  1. (2.1) 11, 14, 18, 20, 22

  2. Solve the IVP:

    \[x'=x(4+x), x(0)=1\]

    Hint: use a partial fraction decomposition

  3. Solve the logistic growth equation:

    \[N'=rN\left(1-\frac{N}{K}\right), N(0)=N_0\]