d?q, dq (c) dt2 = t2 + 2t dt F(0) = 4 F'(0) = -2 dx (d) + 2x = 2 F(0) = 0 dt at
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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Hi I need step by step handwritten answer please

Transcribed Image Text:3. Find the solution of the following differential equation by Laplace transform with
initial conditions for each equation:
d²q
(c)
dt2
dą
= t2 + 2t
dt
F(0) = 4
F'(0) = -2
dx
(d)
+ 2x = 2
dt
F(0) = 0
%3D
at
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