QUESTION 1 Consider the following differential equation for a function x = x (t): dx dt Using an integrating factor, or otherwise, determine which of the following functions gives the general solution to this equation. A. x = 4t x = e - e OB. x = Ce C.x = 4t D.x = Ce 3t 4t Cet+e - 4t 3t - e where C is an arbitrary constant of integration. 3t - - e 4x = e 3t - 3t where C is an arbitrary constant of integration. where C is an arbitrary constant of integration.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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QUESTION 1
Consider the following differential equation for a function x = : x (t):
A₁ x = e
B.
dt
Using an integrating factor, or otherwise, determine which of the following
functions gives the general solution to this equation.
x =
4t
○D. x =
- e
dx
3t
C. x = Ce 4t 3t
+e
4t
= Ce-4
Ce 4t
3t
- e where C is an arbitrary constant of integration.
4x = e
- e
3t
- 3t
where C is an arbitrary constant of integration.
where C is an arbitrary constant of integration.
Transcribed Image Text:QUESTION 1 Consider the following differential equation for a function x = : x (t): A₁ x = e B. dt Using an integrating factor, or otherwise, determine which of the following functions gives the general solution to this equation. x = 4t ○D. x = - e dx 3t C. x = Ce 4t 3t +e 4t = Ce-4 Ce 4t 3t - e where C is an arbitrary constant of integration. 4x = e - e 3t - 3t where C is an arbitrary constant of integration. where C is an arbitrary constant of integration.
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