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Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y=e4x and z=e3x. Think of the corresponding vector

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y=e4x and z=e3x. Think of the corresponding vector solutions y1 and y2and use the Wronskian to show that the solutions are linearly independent.

Wronskian = det

[

]

=

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Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y=e4x and z=e3x. Think of the corresponding vector

Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y=e4x and z=e3x. Think of the corresponding vector solutions y1 and y2and use the Wronskian to show that the solutions are linearly independent. Wronskian = det [ ] =

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Microeconomics An Intuitive Approach with Calculus

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Suppose you solved a second-order equation by rewriting it as a system and found two scalar solutions: y=e4x and z=e3x. Think of the corresponding vector solutions y1 and y2and use the Wronskian to show that the solutions are linearly independent.

Wronskian = det

[

]

=