One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0 y = ae²z + be-la y = ae + bela y = ae² + bela y = ae + be-la and one of the following is to taution to the nonhomogeneous equation y" - y' - 2y = -6e y = 12e² y = 9e² y = 3e² y = 6e² By superposition, the general solution of the equation y" - y' - 2y = -6e* is y = Find the solution with y(0) = 4 y(0)' = 4 y = Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the
One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0 y = ae²z + be-la y = ae + bela y = ae² + bela y = ae + be-la and one of the following is to taution to the nonhomogeneous equation y" - y' - 2y = -6e y = 12e² y = 9e² y = 3e² y = 6e² By superposition, the general solution of the equation y" - y' - 2y = -6e* is y = Find the solution with y(0) = 4 y(0)' = 4 y = Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the
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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![One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0
y = ae² + be-¹x
y = ae + bela
y =
ae2a
+ bela
y = ae + be-12
and one of the following is to tution to the nonhomogeneous equation y" - y' - 2y = -6e²
y = 12e
y = 9e²
y = 3e²
y = 6e²
By superposition, the general solution of the equation y" - y' – 2y = −6e is
y =
Find the solution with
y(0) = 4
y(0)' = 4
y =
Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the
homogeneous equation without the coefficients a and b) for good measure, and found it to be
fundamental theorem tells me that that this is the unique solution to the IVP on the interval
The](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12cd3dd4-04b1-436f-9015-7a27f9c565be%2Fdea0f5af-e02e-4a1a-b60e-77700d822b34%2Fm95j12q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0
y = ae² + be-¹x
y = ae + bela
y =
ae2a
+ bela
y = ae + be-12
and one of the following is to tution to the nonhomogeneous equation y" - y' - 2y = -6e²
y = 12e
y = 9e²
y = 3e²
y = 6e²
By superposition, the general solution of the equation y" - y' – 2y = −6e is
y =
Find the solution with
y(0) = 4
y(0)' = 4
y =
Being the highly trained differential equations fighting machine that I am, I checked the Wronskian (using the solutions to the
homogeneous equation without the coefficients a and b) for good measure, and found it to be
fundamental theorem tells me that that this is the unique solution to the IVP on the interval
The
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