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Solve the following homogeneous ODE y/ - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 а. у(x) — (1+4х) b. y(x) = (1-4x) e-3× %3D с. у(x) — (1-4х) e* d. y(x) - (1+4х) е3х е. у(x) — (1-4х) еЗx f. y(x) %3D (1-4х) g. others h. у(x) - (1-х) е3x

Solve the following homogeneous ODE y/ - 6y + 9y = 0 with the following initial conditions y(0) = 0 and y(0) = -1 а. у(x) — (1+4х) b. y(x) = (1-4x) e-3× %3D с. у(x) — (1-4х) e* d. y(x) - (1+4х) е3х е. у(x) — (1-4х) еЗx f. y(x) %3D (1-4х) g. others h. у(x) - (1-х) е3x

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- бу + 9у 3 0 with the following initial conditions У(0) - 0 and У (0) - -1 %3D а. у(x) 3 (1+4х) b. у(x) - (1-4х) e3x %3D с. у(х) %3D (1-4х) e* d. y(x) - (1+4х) е3х е. у(x) — (1-4х) е3x f. y(x) 3D (1-4х) g. others h. у(x) - (1-х) е3х
Transcribed Image Text:Solve the following homogeneous ODE y- бу + 9у 3 0 with the following initial conditions У(0) - 0 and У (0) - -1 %3D а. у(x) 3 (1+4х) b. у(x) - (1-4х) e3x %3D с. у(х) %3D (1-4х) e* d. y(x) - (1+4х) е3х е. у(x) — (1-4х) е3x f. y(x) 3D (1-4х) g. others h. у(x) - (1-х) е3х
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