3. Second order non-homogeneous ordinary differential equation is given as: y" + y' – 2y = x² –x+e* (a) Show the complimentary function, y., (b) Calculate the particular integral, y,, (c) Indicate the general solution, y, (d) Calculate the particular solution for y'(0)= y"(0) = 0.

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odinary differential equation

Q3. Second order non-homogeneous ordinary differential equation is given as:
y"+ y' – 2y = x² –x+e*
(a) Show the complimentary function, y.,
(b) Calculate the particular integral, y,,
(c) Indicate the general solution, y,
(d) Calculate the particular solution for y'(0) = y"(0) = 0.
Transcribed Image Text:Q3. Second order non-homogeneous ordinary differential equation is given as: y"+ y' – 2y = x² –x+e* (a) Show the complimentary function, y., (b) Calculate the particular integral, y,, (c) Indicate the general solution, y, (d) Calculate the particular solution for y'(0) = y"(0) = 0.
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