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Let a,b be constants. The differential equation: x' (t) = ax(t) + b Has the solution: x(t) = xt * e-a(T-t) Where XT = x(T) is a constant. - ST ₂-a(v-t) bdv e a) Verify that the solution expression solves the differential equation.

Let a,b be constants. The differential equation: x' (t) = ax(t) + b Has the solution: x(t) = xt * e-a(T-t) Where XT = x(T) is a constant. - ST ₂-a(v-t) bdv e a) Verify that the solution expression solves the differential equation.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let a,b be constants. The differential equation: x' (t) = ax(t) + b Has the solution: x(t) = xt * e-a(T-t) Where XT = x(T) is a constant. - ST ₂-a(v-t) bdv e a) Verify that the solution expression solves the differential equation.
Transcribed Image Text:Let a,b be constants. The differential equation: x' (t) = ax(t) + b Has the solution: x(t) = xt * e-a(T-t) Where XT = x(T) is a constant. - ST ₂-a(v-t) bdv e a) Verify that the solution expression solves the differential equation.
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