How do you plot nonhomogeous equations in Mathematica?

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SUMMARY

The discussion focuses on plotting nonhomogeneous equations using Mathematica. The correct implementation involves using the NDSolve function to solve the differential equation y'[x] == y[x] Cos[x + y[x]] with the initial condition y[0] == 1. The solution is then plotted over the interval {x, 0, 30} using the Plot function. The provided code snippet successfully demonstrates this process.

PREREQUISITES
  • Familiarity with Mathematica programming language
  • Understanding of differential equations and initial value problems
  • Knowledge of the NDSolve function in Mathematica
  • Experience with plotting functions in Mathematica
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  • Explore advanced features of NDSolve in Mathematica
  • Learn about different types of differential equations in Mathematica
  • Investigate the use of Manipulate for dynamic plotting in Mathematica
  • Study the implications of nonhomogeneous equations in mathematical modeling
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Mathematics students, researchers in applied mathematics, and anyone interested in solving and visualizing differential equations using Mathematica.

yitriana
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NDSolve[{y'[x] == y[x] Cos[x + y[x]], y[0] == 1}, y, {x, 0, 30}]

i attempted this, but it didn't work.
 
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Try this:

Code: 
sol1 = NDSolve[{y'[x] == y[x] Cos[x + y[x]], y[0] == 1}, y, {x, 0, 30}];
Plot[y[x] /. sol1, {x, 0, 30}]
 

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