Okay I can't find an example problem on this so what do you think about this problem? My questions are in bold.
III. Consider the differential equation
where I''+I=e^it where i= sqrt (-1)
So would you just plug in i? into the equation?
a) Find c such that I(t)=cte^it is a solution.
Is the equation given what the problem is differentiated? then would you just solve for c?
b) Find the general solution and discuss what happens as t approaches infinity .
How would you incorporate an infinity?
III. Consider the differential equation
where I''+I=e^it where i= sqrt (-1)
So would you just plug in i? into the equation?
a) Find c such that I(t)=cte^it is a solution.
Is the equation given what the problem is differentiated? then would you just solve for c?
b) Find the general solution and discuss what happens as t approaches infinity .
How would you incorporate an infinity?