Impulse-Diffy eq.

polarbears

1. The problem statement, all variables and given/known data
$$y''+y=\delta (t-2\pi )cos(t)$$
$$y(0)=0,y'(0)=1$$

2. Relevant equations

3. The attempt at a solution
The left side is (s^2+1)Y(s)-1=RHS

My problem is the fact that cosine is being multiplied by the delta function. I put it in the form of an intergral but I dont know what to do from there.

HallsofIvy

Well, good! Delta functions usually make integrals trivial. What integral did you get?

annoymage

hmm, i dont know what is this question, may i know, what topic should i study for this question?

polarbears

Differential Equations -Laplace transforms

OHHHH waitttt does the delta function just determine the bound of my intergral?

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving