Which of the following is the general solution to the equation x 2 y"-12y'+30y=D0?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is the general solution to the equation x 2 y"-12y'+30y=D0?
O a. y=e^(3x) (c_1 sin10x+c_2 cos10x)
O b. y=c_1 x^(3) +c_2 x^(10)
O NS. y=c_1 x^ (3)+c_2 x^(3) Inx
O D. y=c_1 x^(10)+c_2 x^(10) Inx
O to. y=c_1 e^(3x)+c_2 e^(10x)
O f. y=x^(3) (c_1 sin10x+c_2 cos10x)
Transcribed Image Text:Which of the following is the general solution to the equation x 2 y"-12y'+30y=D0? O a. y=e^(3x) (c_1 sin10x+c_2 cos10x) O b. y=c_1 x^(3) +c_2 x^(10) O NS. y=c_1 x^ (3)+c_2 x^(3) Inx O D. y=c_1 x^(10)+c_2 x^(10) Inx O to. y=c_1 e^(3x)+c_2 e^(10x) O f. y=x^(3) (c_1 sin10x+c_2 cos10x)
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