we have a non-linear system of differential equations: dz/dt=2z-(z^2)-zp, dp/dt=(p^2)-p(z^2) our equilibrium points are (0,0), (1,1), (2,0) and (-2,4). Write a python code that plots the phase portraits for the linearized solutions at each equilibrium point.
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we have a non-linear system of differential equations: dz/dt=2z-(z^2)-zp, dp/dt=(p^2)-p(z^2)
our equilibrium points are (0,0), (1,1), (2,0) and (-2,4).
Write a python code that plots the phase portraits for the linearized solutions at each equilibrium point.
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- Please solve in python code! Thanks! A plane flying horizontally with a speed of 300 km/hr passes over a ground radar station at an altitude of 10 km. At time t = 0, the plane is 100 km away (and moving toward the radar station-see figure below). Let θ be the angle of elevation from the radar station to the plane. (a) If t is time in minutes, find an expression for θ1(t) (valid on the domain t ∈ [0, 20]) and θ2(t) (valid on the domain t ∈ (20, ∞)). Print both functions and their derivatives. (b) Convert into degrees and plot θ1 in the domain t ∈ [0, 20] and θ2 in the domain t ∈ [20, 60] (on the same graph) (c) Plot both derivatives in a separate graph using the corresponding domains from part (b) and a range of θ ∈ [0, 10].A robot moves in a 2D lattice. The robot can only move north (N), south (S), east (E), and west (W) by a certain number of steps. Assume that the robot always starts at (0,0), and that the x axis is oriented east, while the y axis is oriented north. Write a Python function that, given a set of moves, calculates the final position of the robot. For example, if the set of moves provided as input is: N 2 E 4 S 1 W 3 then the final position of the robot is (1,1). The integer that follows a move is always positive. Follow this code skeleton: def robot_move (moves): X = 0 y = 0 # your code here return (x,y) The moves are provided as an array of tuples. The array can have any number of moves in any order. The example above is passed as input as follows: [('N',2), ('E',4), ('S',1), ('W',3)]INTRODUCTION: Heat conduction from a cylindrical solid wall of a pipe can be determined by the follow T1-T2 q = 2nLk R2 In R. where: q is the computed heat conduction in Watts. k is the thermal conductivity of the pipe material in Watts/°C/m. L is the length of the pipe in cm. Ri is the inner radius of the pipe in cm. R2 is the outer radius of the pipe in cm. Ti is the internal temperature in °C. T2 is the external temperature in °C. ASSIGNMENT: Write a C program that will allow the user to enter the inner and outer radii of the pipe, the the internal and external temperatures. Once the user enters the input values, the program
- Apply Python Programming to this problem:With a rotated conic as such: Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, write a function classifyconic(x) which has a purpose to classify if the given parameter of a conic is elliptic, hyperbolic or parabolic. The given parameter is x = [A, B, C, D, E, F].Note: A parabolic rotated conic has a discriminant D = B^2 - 4AC that is equal to zero. An elliptical rotated conic has a discriminant less than zero. A hyperbolic rotated conic has a discriminant greater than zero.Consider these questions:What type of rotated conics are these equations?1. x^2 - 3xy - 2y^2 + 8x + 6y + F1 = 02. x^2 + 2xy + y^2 + 2x + 4y + F2 = 03. x^2 + 3xy + 4y^2 + 3x + 5y + F3 = 0Alice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). a) Alice wants to compose a song that contains the pattern “15” an even number of times. Please draw an FSM that only accepts a sequence of notes that satisfies the above pattern. b)Alice changes her mind. She finds that it would be enough to just use {1, 5} (“do”, “so”) in her new song. She wants to compose a song satisfying the following two conditions: i)If the sequence of notes ends with “1”, it should contain an even number of digits. ii)If the sequence of notes ends with “5”, it should contain an odd number of digits. Please draw an FSM that only accepts the sequences of notes that satisfy the above conditions.Note that you should provide a detailed description of…Alice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). b)Alice changes her mind. She finds that it would be enough to just use {1, 5} (“do”, “so”) in her new song. She wants to compose a song satisfying the following two conditions: i)If the sequence of notes ends with “1”, it should contain an even number of digits. ii)If the sequence of notes ends with “5”, it should contain an odd number of digits. Please draw an FSM that only accepts the sequences of notes that satisfy the above conditions.Note that you should provide a detailed description of the FSMs in your design to show how it works. Specifically, you should describe the meaning of each state
- Alice, a friend of Mr. Bernard’s, wants to compose a song. She asks Mr. Bernard for help. Although Mr. Barnard knows nothing about music, he finds that the sequence of notes in a numbered musical notation can be expressed as an FSM with input the alphabet {1, 2, 3, 4, 5, 6, 7} (“do”, “re”, “mi”, “fa”, “so”, “la”, “ti”). Alice wants to compose a song that contains the pattern “15” an even number of times. Please draw an FSM that only accepts a sequence of notes that satisfies the above pattern. Note that you should provide a detailed description of the FSMs in your design to show how it works. Specifically, you should describe the meaning of each state.This is for a Java Progrsm problem but If you could fully explain it to me then I should be okay to try to create this program based off your explaination. Thank you! Trigonometry is needed A pipe is to be carried around a right-angled corner of two intersecting corridors. Suppose that the widths of the two intersecting corridors are 5 feet and 8 feet. Your objective is to find the length of the lingest pipe, rounded to the nearest foot, that can be carried level around the right-angled corner. What I have to do is the following: Write a program that prompts the user to input the widths of both the hallways/ The program then outputs the length of the longest pipe, rounded to the nearest foot, that can be carried level around the right-angled cprner. Note that the length of the pipe os goven by l = AB + BC = 8 /SIN 0 (Omega) + 5 / cos 0(Omega), where 0 < > Omega < pi/ 2vvvHarry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output.Input: 4 2 2Output4Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according…
- Program a simplified Galton board in python. It is required that: The user must select the number of rows n of the board The distribution resulting from dropping the beads should be displayed on the screen. Display an animation where the number of rows n increases over time.All resulting distributions must be scaled to the interval [0, 1], so that it is possible toappreciate the convergence to the normal distribution. Consider n from 1 to 80.Make a python code to find the displacement (Ux,Uy) by the use of Green's Function on 2x2 matrix. Values are: v= 0.45 (Poisson ratio) E= 15000 Pa Qy= 0 Qx= -10 Newton X= 100 micrometer Y=100 micrometer XQx= 20 micrometer YQy= 0 micrometer - Just plug all the values listed. Thank you.It covers the data-driven discretization method, which is the inverse approach where the data (e.g.solution of differential equation) is given and the differential equation governing the dynamics contained in a given data has to be discovered. The technique of identifying hand- written digits is a good example of the methodology that can be applied to the discovery of discrete dynamical system. Please write code in PYTHON for a data driven mathematical model