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elijah78
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A big big big thank you to you guys for your help. i ended up with an A on the project and a B for the semester. Thank you!
1st order linear DE with step function input
- Thread starter elijah78
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- Function Input Linear Step function
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SUMMARY
The discussion revolves around solving a first-order linear differential equation (DE) with a step function input, specifically for a physics engineering problem involving a block diagram representation of a system. The equation is given as y'(t) + (D/m)y(t) = (1/m)f(t), where D is the drag (100 kg/s) and m is the mass (1,000 kg). The user, Elijah, seeks to determine the final velocity of 27.8 m/s from an initial velocity of 20.8 m/s, using Laplace transforms and the properties of step functions. The community emphasizes the importance of using Laplace transforms to handle the input function correctly and achieve the desired solution.
PREREQUISITES- Understanding of first-order linear differential equations
- Familiarity with Laplace transforms and their applications
- Knowledge of step functions and their integration
- Basic physics concepts related to forces and motion
- Study the application of Laplace transforms in solving differential equations
- Learn about the properties of step functions and their integration techniques
- Explore MATLAB for simulating and plotting solutions to differential equations
- Investigate terminal velocity concepts in physics and their mathematical implications
Students in engineering and physics, particularly those studying dynamics and control systems, as well as anyone working on solving differential equations in applied contexts.
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