The functions y3=cosh(2x) and y4=sinh(2x) are solutions of the second order linear homogeneous equation y′′−4y=0. Check if the superposition = c_1 y_3 + c_2 y_4 is also a solution of the same 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 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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The functions y3=cosh(2x) and y4=sinh(2x) are solutions of the second order linear homogeneous equation y′′−4y=0. Check if the superposition = c_1 y_3 + c_2 y_4 is also a solution of the same equation.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,