y"+y'+y=0
y(x)=C1___+C2___
What are the blanks and how do you go about solving this? Just an example of your train of thought would be amazingly helpful. Thanks for any help!
y(x)=C1___+C2___
What are the blanks and how do you go about solving this? Just an example of your train of thought would be amazingly helpful. Thanks for any help!
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y"+y'+y=0
characteristic equation
r² + r + 1 = 0
r = [ -1 ± √(1 - 4) ]/2 = -½ ∓ ½i√3
y(x) = C₁e^(-½ x) Cos(½√3 x) + C₂e^(-½ x) Sin(½√3 x)
characteristic equation
r² + r + 1 = 0
r = [ -1 ± √(1 - 4) ]/2 = -½ ∓ ½i√3
y(x) = C₁e^(-½ x) Cos(½√3 x) + C₂e^(-½ x) Sin(½√3 x)
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wow.
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