How Do You Solve This Specific Differential Equation?

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In summary, solving a differential equation involves finding the function that satisfies the equation, using initial conditions to determine the constants, and then using techniques such as integration or substitution to solve for the unknown function. This process can be complex and may involve multiple steps and methods, but it is essential in many fields of mathematics and science to model and understand real-world phenomena.
  • #1
mathematician121212
y′′−8y′+ 16y= cos(πt)δ(t−1)y(0) = 0, y′(0) = 0.
 
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Welcome to PF.

To get help on homework you must post it in a homework forum, then fill in the template which includes showing your own effort. We are here to help, not to do your work for you.

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  • #3
Welcome to the PF. :smile:
mathematician121212 said:
y′′−8y′+ 16y= cos(πt)δ(t−1)y(0) = 0, y′(0) = 0.
This sub-forum is for new member introductions only, not for questions.

If this is for schoolwork, please re-post in the Homework Help, Calculus forum and show your work toward the solution. Once we see your work, we can offer tutorial help.

If this is a general technical problem (not for schoolwork or self-study), post in the technical Calculus forum and still show your work on the problem.

Thanks! :smile:

EDIT -- Oops, beaten out by @anorlunda again!
 

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