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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