Solve the IVP ä – 2x + x = e² In t + e', t > 0, ¤(1) = 0, i(1) = 0. Hint: use the Method of Variation of Parameters for the first term on the RHS and the Method of Undetermined Coefficients for the second. dx dx and i dt Note the shorthand i dt2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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Solve the IVP ï – 2i + x = e' ln t + e',
t> 0,
x(1) = 0, i(1) = 0.
Hint: use the Method of Variation of Parameters for the first term on the RHS and the
Method of Undetermined Coefficients for the second.
dx
and ä =
dt
Note the shorthand i :
dt2
Transcribed Image Text:Solve the IVP ï – 2i + x = e' ln t + e', t> 0, x(1) = 0, i(1) = 0. Hint: use the Method of Variation of Parameters for the first term on the RHS and the Method of Undetermined Coefficients for the second. dx and ä = dt Note the shorthand i : dt2
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