From the following differential equation Check that the yi are solutions, determine if they are linearly independent, construct a linear equation and verify that it satisfies the edo, calculate the value of the integration constants y" - 3y"+y' - 3y = 0 Y₁ = e³x y₂ = sin(x) y(0) = 3 y'(0) = −1 Y3 = cos(x) y"(0) = -2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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From the following differential equation
Check that the yi are solutions, determine if they are linearly independent,
construct a linear equation and verify that it satisfies the edo, calculate the value
of the integration constants
y"
- 3y"+y' - 3y = 0
y₁ = e³x
y₂ = sin(x)
y(0) = 3 y'(0) = −1
Y3 = cos(x)
y"(0) = -2
Transcribed Image Text:From the following differential equation Check that the yi are solutions, determine if they are linearly independent, construct a linear equation and verify that it satisfies the edo, calculate the value of the integration constants y" - 3y"+y' - 3y = 0 y₁ = e³x y₂ = sin(x) y(0) = 3 y'(0) = −1 Y3 = cos(x) y"(0) = -2
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