Question

resolver usando transformada de laplace
y" - 2y´ + 5y =1+t, y(o)=0, y´(0)=4

Answer 1

L(y" - 2y´ + 5y) = L(1+t)

S²Y(S) - 2SY(S) + 5Y(S) = 1/S + 1/(S²)

Y(S) = (S+1) / (S²-2S+5)S²