Need Help On Initial Value Problems

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  • Thread starter Thread starter vpathak
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Discussion Overview

The discussion revolves around initial value problems in calculus, specifically focusing on two differential equations. Participants express confusion about how to approach solving these problems and seek guidance on methods and steps involved.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about how to start solving initial value problems and requests help with two specific problems.
  • Another participant suggests that assistance may be limited unless the original poster shows their attempts at solving the problems.
  • A different participant encourages the original poster to read the textbook and try examples before seeking help.
  • One participant identifies the first problem as a separable equation and outlines a method for solving it, emphasizing the need to separate variables and integrate.
  • The original poster acknowledges receiving help and indicates they may have understood the approach after the discussion.

Areas of Agreement / Disagreement

Participants generally agree that the problems can be approached through specific methods, such as separation of variables. However, there is no consensus on the best way to start or the necessity of showing prior work before receiving help.

Contextual Notes

Some participants mention the importance of textbook examples and prior attempts, indicating that the discussion may depend on individual understanding and prior knowledge of differential equations.

Who May Find This Useful

Students preparing for calculus tests, particularly those struggling with initial value problems and differential equations.

vpathak
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Hi, I have a Calculus test coming up and am very confused on how to start approching these types of problems (initial value problems) If possible can someone work these 2 different types of problems out and show some work so I know how to proceed with the rest of them? I don't think they are that hard, for some reason I'm just confused. Thanks


Problem 1: y' +ty = t, y(0) = 0

Problem 2: y' = y^2*sint, y(0) = 1

Thanks again for all those who help!
 
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I don't think anyone will help you on here unless you show what you did :blushing: sorry but that's how it works
 
well I am just lost in even how to attempt these types of problems, so yeah...i hope someone does :confused:
 
They arnt that hard, read the book and try some examples. Then try it and if you don't get far post what you did and people will tell you what you need to fix.
 
these are separable equations, your main goal must be put all the y's in one side and all the t's in the other and then integrate. For example, on 1

y'+ty=t ,y(0)=0 =>
y'=t-ty =>
y'=t(1-y) =>
y'/(1-y)=t => using y'=dy/dt

dy/(1-y)=t dt

then integrate both sides. Check any differential equations book. Look for separable equations.
 
thanks i think i got it.
 

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