Using the method of undetermined coefficients, determine the form of a particular solution for the differential equation. y" - 10y +25y = 7t6 est Oy(t) = et (Asto + Ast5 + A4t + A3t³ + A₂t² + A₁t + A₁) Oy(t) = test (Asto + Ast5 + A4t4 + A3t³ + A₂t² + A₁t+ A₁) Oy(t)=e5t² (Ast6 + A5t5 + A4t + A3t³ + A₂t² + A₁t+ Ao) Oy(t) = test (Ast® + Ast5 + Aatª + A3t³ + A₂t² + A₁t+ Ao)

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 8E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Using the method of undetermined coefficients, determine the form of a particular solution
for the differential equation.
y" - 10y +25y = 7t6 est
Oy(t) = et (Asto + Ast5 + A4t + A3t³ + A₂t² + A₁t + A₁)
Oy(t) = test (Asto + Ast5 + A4t4 + A3t³ + A₂t² + A₁t+ A₁)
Oy(t)=e5t² (Ast6 + A5t5 + A4t + A3t³ + A₂t² + A₁t+ Ao)
Oy(t) = test (Ast® + Ast5 + Aatª + A3t³ + A₂t² + A₁t+ Ao)
Transcribed Image Text:Using the method of undetermined coefficients, determine the form of a particular solution for the differential equation. y" - 10y +25y = 7t6 est Oy(t) = et (Asto + Ast5 + A4t + A3t³ + A₂t² + A₁t + A₁) Oy(t) = test (Asto + Ast5 + A4t4 + A3t³ + A₂t² + A₁t+ A₁) Oy(t)=e5t² (Ast6 + A5t5 + A4t + A3t³ + A₂t² + A₁t+ Ao) Oy(t) = test (Ast® + Ast5 + Aatª + A3t³ + A₂t² + A₁t+ Ao)
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