Consider the differential equation dx t5 = dt t6 +3 (a) State the form of the differential equation and hence state which of the methods described in Unit 8 for finding solutions of differential equations you would use to solve this equation. (b) Find the general solution of the differential equation in explicit form. (c) Hence find the particular solution of the differential equation that satisfies the initial condition x(0) = 0.
Consider the differential equation dx t5 = dt t6 +3 (a) State the form of the differential equation and hence state which of the methods described in Unit 8 for finding solutions of differential equations you would use to solve this equation. (b) Find the general solution of the differential equation in explicit form. (c) Hence find the particular solution of the differential equation that satisfies the initial condition x(0) = 0.
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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Transcribed Image Text:Consider the differential equation
dx
t5
t6 +3
=
dt
(a) State the form of the differential equation and hence state which of the
methods described in Unit 8 for finding solutions of differential
equations you would use to solve this equation.
(b)
Find the general solution of the differential equation in explicit form.
(c) Hence find the particular solution of the differential equation that
satisfies the initial condition x(0) = 0.
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