Differential Equations Trouble

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Homework Help Overview

The discussion revolves around verifying whether specific functions are solutions to given differential equations. The subject area includes differential equations and their solutions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of substituting the proposed solutions into the differential equations to check their validity. Some express uncertainty about the next steps after initial attempts.

Discussion Status

Participants are exploring the verification process for the differential equations. Some guidance has been provided regarding the approach of substituting solutions, and there is acknowledgment of misinterpretations of the problem requirements.

Contextual Notes

There is a mention of potential confusion regarding the phrasing of the problem, which may affect participants' understanding of what is being asked.

TheSpaceGuy
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Homework Statement



Verify that each given function is a solution of the differential equation.
1. ty' - y = t^2 ; y = 3t + t^2

2. y'' + y = sect , 0<t<pi/2 ; y = (cost)ln( cost ) + tsint



The Attempt at a Solution


int (tdy) = int(t^2 + y)dt
which isn't y=3t + t^2

For the second part I'm not sure where to go. Thanks for the help guys.
 
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It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.
 
King Tony said:
It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.

You are correct sir. I misinterpreted the question it seems. Thanks for the save!
 
When a problem says "verify that such and such is a solution" they are in essence telling you the answer, and just asking for you check it.
 

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