(2) Suppose we have a second-order constant-coefficient inhomogeneous ODE with a particular = cos(r). If we know that the associated homogeneous ODE has two linearly independent solutions ye and y2= xe, then what is the general solution to the inhomo- geneous ODE? solution Oy(x)=e* +re" + cos(x) O y(x) = ce+caze + c3 cos(r) where c₁, C₂, C3 are real numbers. Oy(x) = ce+care + cos(x) where c₁, c₂ are real numbers. O y(x) = ccos(r) where e is a real number.
(2) Suppose we have a second-order constant-coefficient inhomogeneous ODE with a particular = cos(r). If we know that the associated homogeneous ODE has two linearly independent solutions ye and y2= xe, then what is the general solution to the inhomo- geneous ODE? solution Oy(x)=e* +re" + cos(x) O y(x) = ce+caze + c3 cos(r) where c₁, C₂, C3 are real numbers. Oy(x) = ce+care + cos(x) where c₁, c₂ are real numbers. O y(x) = ccos(r) where e is a real number.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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