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Consider the First-Order Homogeneous System of Linear Differential Equations

Question 30

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Consider the first-order homogeneous system of linear differential equations
Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system.
And the following four vector functions:
Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system.
Which of the following statements are true? Select all that apply.


A) Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. is a solution of this system, for all real numbers C1 ,C2 ,C3 , and C4 .
B) W [ Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. (t) , Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. (t) ] ? 0 for every real number t.
C) 5.5 Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. + 4.5 Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. + C is a solution of this system, for any real number C.
D) 4 Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. is a solution of this system.
E) { Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. , Consider the first-order homogeneous system of linear differential equations   And the following four vector functions:   Which of the following statements are true? Select all that apply. A)    is a solution of this system, for all real numbers C<sub>1</sub> ,C<sub>2</sub> ,C<sub>3</sub> , and C<sub>4</sub> . B)  W [   (t) ,   (t) ] ? 0 for every real number t. C)  5.5   + 4.5   + C is a solution of this system, for any real number C. D)  4   is a solution of this system. E)  {   ,   } is a fundamental set of solutions for this system. } is a fundamental set of solutions for this system.

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