Suppose that a fourth order differential equation has a solution y = -8e4x cos(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Enter the derivatives as y', y", ... (b) Find the general solution to this differential equation. help (equations) In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc.
Suppose that a fourth order differential equation has a solution y = -8e4x cos(x). (a) Find such a differential equation, assuming it is homogeneous and has constant coefficients. help (equations) Enter the derivatives as y', y", ... (b) Find the general solution to this differential equation. help (equations) In your answer, use C₁, C2, C3 and C4 to denote arbitrary constants and x the independent variable. Enter c₁ as c1, c₂ as c2, etc.
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.CR: Chapter 11 Review
Problem 1CR
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