##### 45. A system is described by the following dif...

45. A system is described by the following differential equation, where u(t) is the input to the system and y(t) is the output of the system.

y(t)+5y(t)=u(t)

When y(0) = 1 and u(t) is a unit step function, y(t) is

(A) 0.2+0.8e | |

(B) 0.2-0.2e | |

(C) 0.8+0.2e | |

(D) 0.8-0.8e |

Hint:

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