Suppose that y1 = e x and y2 = e −x are the solution of a homogenous linear differential equations. Explain why y1 = cosh x and y2 = sinh x are also solutions of the equation?
Suppose that y1 = e x and y2 = e −x are the solution of a homogenous linear differential equations. Explain why y1 = cosh x and y2 = sinh x are also solutions of the equation?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Question
Suppose that y1 = e
x and y2 = e
−x are the solution of a homogenous linear differential
equations. Explain why y1 = cosh x and y2 = sinh x are also solutions of the equation?
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