The following system of differential equations is given. I₁ = 41₁ + 2x₂ I'₁2 = 311 - 1₂ The eigenvalues of this system are -2 and 5. Find a general solution of the system. O a. z(t)=c₁[¹]e=2+₂ est O b. z(t)=c₁[¹]e² + c₂[²]e-st Oc z(t)=c₁e¹¹+c₂[²]e He + c₂[²]e O d. z(t)=c₁[¹]e=" O e z(t)=c₁[e=" + c₂[²] e
The following system of differential equations is given. I₁ = 41₁ + 2x₂ I'₁2 = 311 - 1₂ The eigenvalues of this system are -2 and 5. Find a general solution of the system. O a. z(t)=c₁[¹]e=2+₂ est O b. z(t)=c₁[¹]e² + c₂[²]e-st Oc z(t)=c₁e¹¹+c₂[²]e He + c₂[²]e O d. z(t)=c₁[¹]e=" O e z(t)=c₁[e=" + c₂[²] e
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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The following system of differential equations is given.
I₁ = 4x₁ + 2x₂
12₂=311-1₂
The eigenvalues of this system are -2 and 5. Find a general solution of the system.
O a. r(t)=c₁[¹]e-2 +₂ est
O b. x(t)=c₁[¹]e²t + c₂[1]e-st
Ocz(t)=c₁ e 2 +₂e
O d. z(t)=c₁[¹]e 2 +₂e
24
Oe. z(t)=c₁[]e ² + c₂[²]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b6fa56-38ee-4743-9f4d-7f62e85368be%2Fed0d31a9-4875-4ecc-a29d-ae42e8e8f36e%2Fxg3xtdk_processed.png&w=3840&q=75)
Transcribed Image Text:on
The following system of differential equations is given.
I₁ = 4x₁ + 2x₂
12₂=311-1₂
The eigenvalues of this system are -2 and 5. Find a general solution of the system.
O a. r(t)=c₁[¹]e-2 +₂ est
O b. x(t)=c₁[¹]e²t + c₂[1]e-st
Ocz(t)=c₁ e 2 +₂e
O d. z(t)=c₁[¹]e 2 +₂e
24
Oe. z(t)=c₁[]e ² + c₂[²]
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