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Numerically Solve the Following: 1. Use Euler’s Method: du/dt = v dv/dt = -kv - u^3 + B cos(t) u(0) = 1.0 v(0) = 1.0 k = 0.4 B = 20.0 h = 0.01 i = 10000 - Write the data (y1, y2) to a file named ?LASTNAME_Prob1.dat? Example: If your name is John Doe – file name would be ?DOE_Prob1.dat? - Plot the result with lines using GNUPLOT (Hint: see lecture 08) - Submit full code (copy and paste). Plot must be on a separate page. - Run the code again and plot the result for: k = 0.1 B = 11.0

          Numerically Solve the Following:

1. Use Euler’s Method:

du/dt = v
dv/dt = -kv - u^3 + B cos(t)
u(0) = 1.0 v(0) = 1.0
k = 0.4 B = 20.0
h = 0.01 i = 10000

- Write the data (y1, y2) to a file named ?LASTNAME_Prob1.dat?
Example: If your name is John Doe – file name would be ?DOE_Prob1.dat?
- Plot the result with lines using GNUPLOT (Hint: see lecture 08)
- Submit full code (copy and paste). Plot must be on a separate page.
- Run the code again and plot the result for:
k = 0.1 B = 11.0

Show more…

Numerically Solve the Following:

1. Use Euler’s Method:

du/dt = v
dv/dt = -kv - u^3 + B cos(t)
u(0) = 1.0 v(0) = 1.0
k = 0.4 B = 20.0
h = 0.01 i = 10000

- Write the data (y1, y2) to a file named ?LASTNAMEProb1.dat?
Example: If your name is John Doe – file name would be ?DOEProb1.dat?
- Plot the result with lines using GNUPLOT (Hint: see lecture 08)
- Submit full code (copy and paste). Plot must be on a separate page.
- Run the code again and plot the result for:
k = 0.1 B = 11.0

Added by Antonio R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Collin Parker

Step 1

We have: du/dt = dv ~ kv ~ u^3 + Bcos(t) u(0) = 1.0 v(0) = 1.0 We also have the values for k, B, h, and i: k = 0.4 B = 20.0 h = 0.01 i = 10000 Now, let's implement Euler's method to numerically solve the differential equation. We will use a loop to iterate i Show more…

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Numerically Solve the Following: 1. Use Euler's Method: du/dt = v dv/dt = -kv - u^3 + B cos(t) u(0) = 1.0 v(0) = 1.0 k = 0.4 B = 20.0 h = 0.01 i = 10000 Write the data (y1, y2) to a file named "LASTNAME_Prob1.dat" Example: If your name is John Doe – file name would be "DOE_Prob1.dat" Plot the result with lines using GNUPLOT (Hint: see lecture 08) Submit full code (copy and paste). Plot must be on a separate page. Run the code again and plot the result for: k = 0.1 B = 11.0

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