Let u(z) be a solution of the differential equation 3u" (x) +2u'(x) = x, I≥0, with the boundary conditions (0) = 0 and u' (0) = 1. If u(g) is the Laplace transform of u(x), which of the equations below is correct? Select one: O a. u(g) = O b. (g) = Oc. ū(g) 3+g² q(3q¹+29) 1+3q² q² (3q²+1) 1+3q² q³ (3q³+29)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let u(z) be a solution of the differential equation
3u" (x) +2u'(x) = x, I≥0,
with the boundary conditions (0) = 0 and u' (0) = 1. If u(g) is the Laplace transform of u(x), which of
the equations below is correct?
Select one:
O a. u(g) =
O b. u(q) =
O c. ū(g)
-
3+g²
q(3q¹+29)
1+3q²
q² (3q³+1)
1+3q²
q³ (3q³+29)
Transcribed Image Text:Let u(z) be a solution of the differential equation 3u" (x) +2u'(x) = x, I≥0, with the boundary conditions (0) = 0 and u' (0) = 1. If u(g) is the Laplace transform of u(x), which of the equations below is correct? Select one: O a. u(g) = O b. u(q) = O c. ū(g) - 3+g² q(3q¹+29) 1+3q² q² (3q³+1) 1+3q² q³ (3q³+29)
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