e-t = (1) dt, x E R. -I

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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1
Let o(x)
= e-" dt, x € R.
=E lo(b) – a(a).
(i)
Show that
e
-t?
(ii)
Show that the function y = o(x)e²´ satisfies the differential equation dy/dx = 2xy+2/VT.
Transcribed Image Text:1 Let o(x) = e-" dt, x € R. =E lo(b) – a(a). (i) Show that e -t? (ii) Show that the function y = o(x)e²´ satisfies the differential equation dy/dx = 2xy+2/VT.
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