Given: x³y"" - 3x2y" + 6xy' - 12y = 2x4 + Inx, write the complementary solution in x. A. Y c₂x³ + x² [c₂cos√2x + casin√2x] C. Ye= ₂x4+x[c₂cos√10x + casin√10x] B. Y = ₂x + x[c₂cos√10x + casin√10x] D. Y = ₂x + x[c₂cos√2x + casin√2x]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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Given: x³y"" - 3x2y" + 6xy' - 12y = 2x4 + Inx, write the complementary solution in x.
A. Ye= c₂x³ + x² [c₂cos√2x + casin√2x] C. Ye= ₂x + x[c₂cos√10x + casin√10x]
B. Y = C₂x +
x[c₂cos√10x
+ casin√10x] D. = ₂x + x[c₂cos√2x + casin√2x]
Transcribed Image Text:Given: x³y"" - 3x2y" + 6xy' - 12y = 2x4 + Inx, write the complementary solution in x. A. Ye= c₂x³ + x² [c₂cos√2x + casin√2x] C. Ye= ₂x + x[c₂cos√10x + casin√10x] B. Y = C₂x + x[c₂cos√10x + casin√10x] D. = ₂x + x[c₂cos√2x + casin√2x]
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