Describe and solve the following differential equation: y"-4y' + 3y = x² - 2x+1 If the solution of the homogeneous ordinary differential equation is [y=e2x (C₁ sin3x + C₂ cos3x)+ C3], find the differential equation.

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Describe and solve the following differential equation:
y"-4y' + 3y = x² - 2x+1
If the solution of the homogeneous ordinary differential equation is
[y=e2x (C₁ sin3x + C₂ cos3x)+ C3], find the differential equation.
Transcribed Image Text:Describe and solve the following differential equation: y"-4y' + 3y = x² - 2x+1 If the solution of the homogeneous ordinary differential equation is [y=e2x (C₁ sin3x + C₂ cos3x)+ C3], find the differential equation.
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