Help with Mechanical Engineering Project | Answers to Questions

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Mechanical engineers often encounter differential equations, particularly in problems involving damped harmonic oscillators, which include mass-spring-shock absorber systems. Typical engineering problems can involve both linear and non-linear ordinary differential equations (ODEs), as well as partial differential equations like the Navier-Stokes equations for fluid dynamics and heat/diffusion equations. For a comprehensive understanding, it's recommended to consult resources like Wikipedia and university library math books that cover differential equations and their applications. Exploring these materials will provide insight into the various types of equations and their relevance in engineering contexts. Engaging with these resources will enhance problem-solving skills in mechanical engineering projects.
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Hi to all,

I am 4year mechanical engineering and I need help with one of my projects.

1) What Kinds of deferential equations needs a mechanical engineer to solve problems?

2) What is the “typical engineering problems”?

Thank you in advance!
 
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Consider the various dampened harmonic oscillator problems (mass + spring + shockabsorber) a book on Ordinary Differential Equations (ODE's) will cover these.
You can describe many masses coupled by springs yielding a system of linear ODE's.

Some of the more "interesting" problems arise when you consider non-linear ODE's.

Also consider the Navier-Stokes equations for fluid flow and the Heat/Diffusion equations. These are partial differential equations.

Your question is quite broad. I suggest you browse through wikipedia's various differential equation articles to see types of equations and their applications. Also go to your university library and browse through some math books on differential equations. They typically give applications as they classify the various types of DE's.
 

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