Pregunta: Solve the initial value problem: Y"-4y'+4y=0, y(0)=-1, y'(0)=2.

The given initial value problem

$\mathrm{y}{}^{″}-4{\mathrm{y}}^{\prime }+4\mathrm{y}=0,\mathrm{y}\left(0\right)=-1,{\mathrm{y}}^{\prime }\left(0\right)=2\to \left(1\right).$

Apply the Laplace transform, and use the linearity property.