Solve the given O.D.E. by the method of "Variation of Parameters"; 1 Y" - 4 Y' + 4 Y = [12 x2 - 6X].e2x Subject to: Y(0) = 1 Y' (0) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method of variation of parameters, thank you!

Solve the given O.D.E. by the method of "Variation of Parameters";
1 Y" - 4 Y' + 4 Y = [12 x2 - 6X].e2x Subject to:
Y(0) = 1
Y' (0) = 0
Transcribed Image Text:Solve the given O.D.E. by the method of "Variation of Parameters"; 1 Y" - 4 Y' + 4 Y = [12 x2 - 6X].e2x Subject to: Y(0) = 1 Y' (0) = 0
Y = Yc + YP,
Yc =
Where:
Yp =
Transcribed Image Text:Y = Yc + YP, Yc = Where: Yp =
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