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Which of the following differential equations is/are nonlinear?

  1. $t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$
  2. $\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(0)=0$
  3. $x(t) \cos t-\frac{d x(t)}{d t} \sin t=1, \quad x(0)=0$
  4. $x(t)+e^{\left(\frac{d x(t)}{d t}\right)}=1, \quad x(0)=0$

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