lem, in which an input of large amplitude and short duration has been idealized as a delta function. y''-6y'=δ(t-5), y'(0)=0,y(0)=8 a.Find the Laplace transform of the solution. Y(s)= ? b. Obtain the solution y(t). y(t)=? c.Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t=5 y(t)=....................................................................................... when 0 < t < 5 y(t)=....................................................................................... when 5 < t < ∞ Please show all work please I cannot for my life understand how
Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function.
y''-6y'=δ(t-5), y'(0)=0,y(0)=8
a.Find the Laplace transform of the solution.
Y(s)= ?
b. Obtain the solution y(t).
y(t)=?
c.Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t=5
y(t)=....................................................................................... when 0 < t < 5
y(t)=....................................................................................... when 5 < t < ∞
Please show all work please I cannot for my life understand how I got a undefined when solving this.
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