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Question 3 4 pts 2 The system of equations is to be solved using the forward...
Please show me the steps to solve this problem using both backward and forward Euler Question...
Please show me the steps to solve this problem using both
backward and forward Euler
Question 44 4/4 pts Given the ODE with initial condition x' (t) = 3x +t, «(1) = 2 We solve it with implicit backward Euler method, using time step h=0.1. What is the approximate solution for x(1.1)? 2.8745 0 3.62 3.0143 0 2.7
(d)A first-order system is described by the following differential equation +24x(t) = r(1) dī i) Discretize the system using (a) forward (Euler) approximation, and (b) backward (Euler) approximation,...
(d)A first-order system is described by the following differential equation +24x(t) = r(1) dī i) Discretize the system using (a) forward (Euler) approximation, and (b) backward (Euler) approximation, respectively, with a sampling time of T - 0.1 for both. Write down the two resulting systems as difference equations. 20% (ii) Check the stability of the continuous-time system described by equation (2) 10% (iii) Discuss the stability of the above two discretised systems obtained in (d(i)). Explain how to choose the...
Question 9 2 pts dt -ay, where Using Euler's method on a system of the form...
Question 9 2 pts dt -ay, where Using Euler's method on a system of the form dy a is a positive constant, results in the equation Yi+1 yi (1 - ah). What is the condition for the solution to be stable? 0 |1 - ah| > 1 0 |1 - ah| > 0 o 1 - ah] < 0 o 1 - ahl <1 Question 10 2 pts Partial differential equations have a single independent variable. O True False
3. Given the equation: y = (x + 2)2 - 4 a. (3 pts) Identify the...
3. Given the equation: y = (x + 2)2 - 4 a. (3 pts) Identify the vertex. b. (3 pts) Describe the transformation. 4. Mario buys tickets for a Denver Nuggets basketball game. The tickets sell for either $47 or $57. He purchases 14 tickets and pays a total of $738. How many tickets did he purchase at each price? a. (2 pts) Write one equation for the total number of tickets and one equation for the total cost of...
Can't use math lab show workings Differential Equation The following ordinary differential equation is to be...
Can't use math lab show workings
Differential Equation The following ordinary differential equation is to be solved using nu- merical methods. d + Bar = Ate - where A, 0,8 > 0 and x = x at t = 0. dt It is to be solved from t = 0 to t = 50.0. It has analytical solution r(t) = A te-al + A le-ale"), where A A B-a and A2 А (8 - a)2 Questions Answer the questions given...
Solve the system of equations using substitutions Solve the system of equations using substitution. y=--x +...
Solve the system of equations using substitutions
Solve the system of equations using substitution. y=--x + 2 2 (1) y+2x = 5 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. 0 A. The solution is O B. ° C. The solution is the empty set. (Type an ordered pair. Type an integer or a simplified fraction.) There are infinitely many solutions of the form (x.yl (Type an equation.)
Tutorial 4. Linear systems of algebraic equations 2 October, 4-5 pm in FN2 (Q1) Consider this linear system of equation...
Tutorial 4. Linear systems of algebraic equations 2 October, 4-5 pm in FN2 (Q1) Consider this linear system of equations a. 1 p -2 0 0 0 1 0 q 0 4 2r -2 0 -1 0 4s Order the four equations such that the system of equations can be solved efficiently by Gauss elimination b. Solve the system by Gauss elimination (Q2) -1] 6 Given the linear system of equations A5 with [A| solve for i 10 and by...
(3) (20 points) The (dimensionless) equations of motion for a frictionless double pendulum system...
please use mathematica for code NOT MATLAB
(3) (20 points) The (dimensionless) equations of motion for a frictionless double pendulum system as shown below (in the figure on the left) with mi m2 and L1 L are The solutions are graphed below (on the right) for the initial conditions θι (0) 2, θ1(0) 1.02(0) 0, and 02(0)-0 for oS t s 50. (a) Reformulate the IVP as a first order system.2 (b) Generate approximate solutions using any method (Euler, improved...
Hello! I need help with this college level differential equations question. Please show work and ...
Hello! I need help with this
college level differential equations question. Please show work and
thank you.
3. Consider the initial value problem y' (t) 1 0y(t) y(0) Clearly, the solution to the system is y(t) = et and 2(t) = e-10 t. Suppose we tried solving the system using forward Euler. This would give us with to 0, y(to) 1, and z(to-1. a. Show that the numerical solution for z(t) will only tend to zero if Δι < 2...
The Program for the code should be matlab 5. [25 pointsl Given the initial value problem...
The Program for the code should be matlab
5. [25 pointsl Given the initial value problem with the initial conditions y(0) 2 and y'(0)10, (a) Solve analytically to obtain the exact solution y(x) (b) Solve numerically using the forward Euler, backward Euler, and fourth-order Runge Kutta methods. Please implement all three methods yourselves do not use any built- in integrators (i.e., ode45)). Integrate over 0 3 r < 4, and compare the methods with the exact solution. (For example, using...
Please show me the steps to solve this problem using both
backward and forward Euler
Question 44 4/4 pts Given the ODE with initial condition x' (t) = 3x +t, «(1) = 2 We solve it with implicit backward Euler method, using time step h=0.1. What is the approximate solution for x(1.1)? 2.8745 0 3.62 3.0143 0 2.7
(d)A first-order system is described by the following differential equation +24x(t) = r(1) dī i) Discretize the system using (a) forward (Euler) approximation, and (b) backward (Euler) approximation, respectively, with a sampling time of T - 0.1 for both. Write down the two resulting systems as difference equations. 20% (ii) Check the stability of the continuous-time system described by equation (2) 10% (iii) Discuss the stability of the above two discretised systems obtained in (d(i)). Explain how to choose the...
Question 9 2 pts dt -ay, where Using Euler's method on a system of the form dy a is a positive constant, results in the equation Yi+1 yi (1 - ah). What is the condition for the solution to be stable? 0 |1 - ah| > 1 0 |1 - ah| > 0 o 1 - ah] < 0 o 1 - ahl <1 Question 10 2 pts Partial differential equations have a single independent variable. O True False
3. Given the equation: y = (x + 2)2 - 4 a. (3 pts) Identify the vertex. b. (3 pts) Describe the transformation. 4. Mario buys tickets for a Denver Nuggets basketball game. The tickets sell for either $47 or $57. He purchases 14 tickets and pays a total of $738. How many tickets did he purchase at each price? a. (2 pts) Write one equation for the total number of tickets and one equation for the total cost of...
Can't use math lab show workings
Differential Equation The following ordinary differential equation is to be solved using nu- merical methods. d + Bar = Ate - where A, 0,8 > 0 and x = x at t = 0. dt It is to be solved from t = 0 to t = 50.0. It has analytical solution r(t) = A te-al + A le-ale"), where A A B-a and A2 А (8 - a)2 Questions Answer the questions given...
Solve the system of equations using substitutions
Solve the system of equations using substitution. y=--x + 2 2 (1) y+2x = 5 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. 0 A. The solution is O B. ° C. The solution is the empty set. (Type an ordered pair. Type an integer or a simplified fraction.) There are infinitely many solutions of the form (x.yl (Type an equation.)
Tutorial 4. Linear systems of algebraic equations 2 October, 4-5 pm in FN2 (Q1) Consider this linear system of equations a. 1 p -2 0 0 0 1 0 q 0 4 2r -2 0 -1 0 4s Order the four equations such that the system of equations can be solved efficiently by Gauss elimination b. Solve the system by Gauss elimination (Q2) -1] 6 Given the linear system of equations A5 with [A| solve for i 10 and by...
please use mathematica for code NOT MATLAB
(3) (20 points) The (dimensionless) equations of motion for a frictionless double pendulum system as shown below (in the figure on the left) with mi m2 and L1 L are The solutions are graphed below (on the right) for the initial conditions θι (0) 2, θ1(0) 1.02(0) 0, and 02(0)-0 for oS t s 50. (a) Reformulate the IVP as a first order system.2 (b) Generate approximate solutions using any method (Euler, improved...
Hello! I need help with this
college level differential equations question. Please show work and
thank you.
3. Consider the initial value problem y' (t) 1 0y(t) y(0) Clearly, the solution to the system is y(t) = et and 2(t) = e-10 t. Suppose we tried solving the system using forward Euler. This would give us with to 0, y(to) 1, and z(to-1. a. Show that the numerical solution for z(t) will only tend to zero if Δι < 2...
The Program for the code should be matlab
5. [25 pointsl Given the initial value problem with the initial conditions y(0) 2 and y'(0)10, (a) Solve analytically to obtain the exact solution y(x) (b) Solve numerically using the forward Euler, backward Euler, and fourth-order Runge Kutta methods. Please implement all three methods yourselves do not use any built- in integrators (i.e., ode45)). Integrate over 0 3 r < 4, and compare the methods with the exact solution. (For example, using...
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