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Solve the following homogeneous ODE y- бу + 9у %- 0 with the following initial conditions y(0) = 0 and у (0) - -1 = а. у(x) %3 (1+4х) b. y(x) — (1-4х) е 3х %3D с. у(x) - (1-4х) e* d. y(x) - (1+4х) e-3x е. у(x) - (1-4х) е3х %3D д. others

Solve the following homogeneous ODE y- бу + 9у %- 0 with the following initial conditions y(0) = 0 and у (0) - -1 = а. у(x) %3 (1+4х) b. y(x) — (1-4х) е 3х %3D с. у(x) - (1-4х) e* d. y(x) - (1+4х) e-3x е. у(x) - (1-4х) е3х %3D д. others

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following homogeneous ODE y/ - 6y + 9y = 0 with the following initial conditions У (0) - 0 and у (0) - -1 а. у(x) 3 (1+4x) b. у(x) - (1-4х) е 3х %3D с. у(x) — (1-4х) e* d. y(x) - (1+4х) е 3х е. у(х) 3 (1-4х) е3x f. y(x) = (1-4x) g. others h. у(x) — (1-х) е3x
Transcribed Image Text:Solve the following homogeneous ODE y/ - 6y + 9y = 0 with the following initial conditions У (0) - 0 and у (0) - -1 а. у(x) 3 (1+4x) b. у(x) - (1-4х) е 3х %3D с. у(x) — (1-4х) e* d. y(x) - (1+4х) е 3х е. у(х) 3 (1-4х) е3x f. y(x) = (1-4x) g. others h. у(x) — (1-х) е3x
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