Question 5: Now consider the differential equation y' - λy = 1- λt. Multiply the equation by e-. Notice that doing so allows you to integrate both sides. Accordingly, show that ye = tel + C. Finally multiply through by e to obtain the function we started with in the first question.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 5: Now consider the differential equation
y' - λy = 1-2t.
Multiply the equation by e-. Notice that doing so allows you to integrate both sides. Accordingly,
show that
te=2 + C.
ye^ = te
=
Finally multiply through by e to obtain the function we started with in the first question.
Transcribed Image Text:Question 5: Now consider the differential equation y' - λy = 1-2t. Multiply the equation by e-. Notice that doing so allows you to integrate both sides. Accordingly, show that te=2 + C. ye^ = te = Finally multiply through by e to obtain the function we started with in the first question.
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