Sunday, February 18, 2018

Use variation of parameters to find the general solution to the following differential equation. x^2y'' - 3xy' + 4y = x^2 ln(x)

Question.

Use variation of parameters to find the general solution to the following differential equation.

x2y'' - 3xy' + 4y = x2 ln(x)

Hint: The solution to the homogeneous problem is yh = c1x2 + c2x2ln(x)

Solution:




2 comments:

  1. Investigate the existence of the laplace transform of the following functions.
    (1).1/(t+1),(2).e^t^2-t
    (3).cost^2

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  2. Thank you very much for your sending intersting solved problems.Eng.Elias Assefa Damte.GD(Be)(hons)(11papers finalized)eliasassefa12345@gmail.com

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