Let y, (t) and y2(t) be two solutions of a second order homogeneous linear differential equation. The Wronskian determinant of the two solutions is W(y,(t), y2(t)) = e¬t . Then, which of the following statement is false? Soruyu boş bırakmak isterseniz işaretlediğiniz seçeneğe tekrar tıklayınız. 5,00 Puan Yı(t) and y2(t) are linearly dependent functions. A The function 2y,(t)–3y2(t) is also a solution of this differential equation. B y1(t) and y2(t) construct a fundamental set of solutions. All the solutions of this differential equation can be represented as c1y1(t) + c2y2(t) , where c, and c, are constants . w (2y,(t), 3y2(t)) = 6et E

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Let y, (t) and y2(t) be two solutions of a second order homogeneous linear differential equation.
The Wronskian determinant of the two solutions is W(y,(t), y2(t)) = e¬t . Then, which of the
following statement is false?
Soruyu boş bırakmak isterseniz işaretlediğiniz seçeneğe tekrar tıklayınız.
5,00 Puan
Yı(t) and y2(t) are linearly dependent functions.
A
The function 2y,(t)–3y2(t) is also a solution of this differential equation.
B
y1(t) and y2(t) construct a fundamental set of solutions.
All the solutions of this differential equation can be represented as c1y1(t) + c2Y2(t) , where
c, and c, are constants .
w (2y,(t), 3y2(t)) = 6et
E
Transcribed Image Text:Let y, (t) and y2(t) be two solutions of a second order homogeneous linear differential equation. The Wronskian determinant of the two solutions is W(y,(t), y2(t)) = e¬t . Then, which of the following statement is false? Soruyu boş bırakmak isterseniz işaretlediğiniz seçeneğe tekrar tıklayınız. 5,00 Puan Yı(t) and y2(t) are linearly dependent functions. A The function 2y,(t)–3y2(t) is also a solution of this differential equation. B y1(t) and y2(t) construct a fundamental set of solutions. All the solutions of this differential equation can be represented as c1y1(t) + c2Y2(t) , where c, and c, are constants . w (2y,(t), 3y2(t)) = 6et E
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