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Using the solution by inspection method, verify that x(t) = tan(3t+c), where c is an arbitrary constant, is a solution of the following ODE. Also find the particular solution for the initial-value problem. (Note that this question tests if you are able to validate a given solution as per the solution by inspection method.) dx dt = 3+3x², x(0) = -1.

Using the solution by inspection method, verify that x(t) = tan(3t+c), where c is an arbitrary constant, is a solution of the following ODE. Also find the particular solution for the initial-value problem. (Note that this question tests if you are able to validate a given solution as per the solution by inspection method.) dx dt = 3+3x², x(0) = -1.

Advanced Engineering Mathematics
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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Using the solution by inspection method, verify that x(t) = tan(3t+c), where c is an arbitrary constant, is a solution of the following ODE. Also find the particular solution for the initial-value problem. (Note that this question tests if you are able to validate a given solution as per the solution by inspection method.) dx dt = 3+3x², x(0) = = -1.
Transcribed Image Text:Using the solution by inspection method, verify that x(t) = tan(3t+c), where c is an arbitrary constant, is a solution of the following ODE. Also find the particular solution for the initial-value problem. (Note that this question tests if you are able to validate a given solution as per the solution by inspection method.) dx dt = 3+3x², x(0) = = -1.
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