Derive equation with a multiplier and constant

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Discussion Overview

The discussion revolves around deriving an equation involving a multiplier and a constant, specifically the equation D * dθ/dz + k = C. Participants are exploring how to manipulate this equation to express θ as a function of z and discuss the implications for plotting the relationship between θ and z.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in deriving the equation and plotting θ against z.
  • Several participants question the clarity of the problem statement and suggest that the original poster should provide more context about the derivation's origin.
  • Another participant proposes a method to solve for dθ, suggesting that if C, k, and D are constants, the solution can be expressed as θ = [(C - k)/D]z + E, where E is a constant of integration.

Areas of Agreement / Disagreement

There is no consensus on the approach to deriving the equation, as participants express differing views on the clarity of the problem and the necessary steps to take.

Contextual Notes

Participants note the importance of context in deriving the equation, indicating that the derivation may depend on specific definitions or prior knowledge not provided in the initial post.

TMonkey
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Hi there,

I'm trying to derive the following equation, but despite internet searching haven't been able to figure out what to do with the multiplier, D.

D * dθ/dz + k = C

I need to derive the equation and then plot the graph θ(y-axis) against z (x-axis).

Any help greatly appreciated,
thank you.
 
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Deriving from what? It helps a lot to clearly state the problem not only to be able to get help from others but also to solve the problem yourself!
 
Derive the equation from what? Is it from raw data, or from a description of a property of something?

You would do better to look through your assignment and class notes rather than the internet! Or form a study group.
 
If by "derive the equation" you mean solve that equation for [itex]\theta[/itex] as a function of z just solve for [itex]d\theta= [(C- k)/D]dz[/itex]. If C, k, and D are constants that gives [itex]\theta= [(C- k)/D]z+ E[/itex] where E is a "constant of integration".
 

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