Find the solution of the initial-value problem dx (2x + 8t) + 8x - t=0, x(0) = 3 dt Select all the correct answers. The ODE is of linear differential form The solution of the given differential equation is x = = 46-)-²- - x The solution of the given differential equation is (−9t± √√/83t² + 25) 1/1/201 (-9t± √√83t² + 144) The ODE is exact The solution of the given differential equation is x = 1 (−8t+ √66t² +36) 2 No general solution using the exact method. The ODE is not exact
Find the solution of the initial-value problem dx (2x + 8t) + 8x - t=0, x(0) = 3 dt Select all the correct answers. The ODE is of linear differential form The solution of the given differential equation is x = = 46-)-²- - x The solution of the given differential equation is (−9t± √√/83t² + 25) 1/1/201 (-9t± √√83t² + 144) The ODE is exact The solution of the given differential equation is x = 1 (−8t+ √66t² +36) 2 No general solution using the exact method. The ODE is not exact
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:Find the solution of the initial-value problem
dx
dt
(2x + 8t).
Select all the correct answers.
The ODE is of linear differential form
The solution of the given differential equation is
X =
+ 8x - t = 0,
x =
6–)---
The solution of the given differential equation is
·(−9t± √√/83t² + 25)
x(0) = 3
1
(−9t± √√83t² + 144)
The ODE is exact
The solution of the given differential equation is
1
X = -(-8t+√66t² +36)
2
No general solution using the exact method.
The ODE is not exact
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