solve it with 3 different ways.
first, use method of undetermined coefficient
second, use diagonalization
third, use laplace transform
'please solve this problem as precise as possible!'
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solve it with 3 different ways. first, use method of undetermined coefficient second, use diagonalization third,...
For the second part, please use method of undetermined coefficient The suspension system in a car...
For the second part, please use method of undetermined
coefficient
The suspension system in a car can be described using the 2nd order ODE: day c dyk Ft) +- +U 2 dt2mdry= m dtm 7 where y is vertical poition, c is the damping coefficient, k is the spring constant, m is mass and F(t) is the external forcing function. Consider that m= 1000 kg, c = 4000 Nm-15-1, k = 40000 Nm-1 and F(t) = -2000 N 1. Find...
Use the method of undetermined coefficients to solve the given nonhomogeneous system. X' = −1 3 3 −1 X + −4t2 t + 2 Use the method of undetermined coefficients to solve the given nonhomogeneous s...
Use the method of undetermined coefficients to solve the given
nonhomogeneous system. X' = −1 3 3 −1 X + −4t2 t + 2
Use the method of undetermined coefficients to solve the given nonhomogeneous system 3 -1 t+ 2 x(t) =
Use the method of undetermined coefficients to solve the given nonhomogeneous system 3 -1 t+ 2 x(t) =
Use the method of undetermined coefficients to solve the given system -4t2 3 -1 X' =...
Use the method of undetermined coefficients to solve the given system -4t2 3 -1 X' = 3 -1 t + 2 X(t)
Use the method of undetermined coefficients to solve the given system -4t2 3 -1 X' = 3 -1 t + 2 X(t)
Differential Equations Please use the LaPlace Transform method USE LAPLACE TRANSFORM ME 7700 TO solve the...
Differential Equations
Please use the LaPlace Transform method
USE LAPLACE TRANSFORM ME 7700 TO solve the following ... 2 ас 11 sint <0,05 (3) 3 -34 t e 3° +6° + 7, <0,05
Problem 7-8: Use the method of undetermined coefficients to find a particular solution of the following...
Problem 7-8: Use the method of undetermined coefficients to find a particular solution of the following differential equations. sin(2t = Solution: I). Y«) - 'e- t cos(2t
3. Solve differential equation by undetermined coefficient methods y" + 2y' +2y = 5 3 4....
3. Solve differential equation by undetermined coefficient methods y" + 2y' +2y = 5 3 4. Solve differential equation by undetermined coefficient methods 1 + 6y +8y = 3 - 2 + 2.
In this bonus you are asked to use the method of undetermined coefficients to solve a...
In this bonus you are asked to use the method of undetermined coefficients to solve a higher order non-homogeneous differential equation. The method is pro- cedurally the same as for second order, the main difference in using the method for higher order equations stems from the fact that roots of the characteristic polynomial equation may have multiplicity greater than 2. Consequently, terms proposed for the non-homogeneous part of the solution may need to be multi- plied by higher powers of...
Solve the following second order initial value problem by the method of undetermined coefficients: y'-8y' +16...
Solve the following second order initial value problem by the method of undetermined coefficients: y'-8y' +16 y = 2e", y(0)=1, y'(0)=0.
1) Question. Solve this constant coefficient linear second order heterogeneous difference equation and conduct a ve...
1) Question. Solve this constant coefficient linear second order heterogeneous difference equation and conduct a verification: yj+13y-10y;-1 = 10. 2) Question. Solve this constant coefficient linear second order heterogeneous differential equation and conduct a verification: y"-y2y 4a Discretionary hint: use the undetermined coefficients method in relation to the inhomo geneous part, that is, try yp = ax2 + bx + c, plug it into the differential equation and solve for parameters a, b and c, matching their associated arguments.
1)...
Question 2 Given the following second order IVP: y" – 2y' + y = e*, y(0)...
Question 2 Given the following second order IVP: y" – 2y' + y = e*, y(0) = 0, y'(0) = 1. 1. Solve it using the undetermined coefficients method. [2 pt] 2. Solve it again using the Laplace Transform. (2.5 pt] 3. Which method did you find easier and why? [0.5 pt]
For the second part, please use method of undetermined
coefficient
The suspension system in a car can be described using the 2nd order ODE: day c dyk Ft) +- +U 2 dt2mdry= m dtm 7 where y is vertical poition, c is the damping coefficient, k is the spring constant, m is mass and F(t) is the external forcing function. Consider that m= 1000 kg, c = 4000 Nm-15-1, k = 40000 Nm-1 and F(t) = -2000 N 1. Find...
Use the method of undetermined coefficients to solve the given
nonhomogeneous system. X' = −1 3 3 −1 X + −4t2 t + 2
Use the method of undetermined coefficients to solve the given nonhomogeneous system 3 -1 t+ 2 x(t) =
Use the method of undetermined coefficients to solve the given nonhomogeneous system 3 -1 t+ 2 x(t) =
Use the method of undetermined coefficients to solve the given system -4t2 3 -1 X' = 3 -1 t + 2 X(t)
Use the method of undetermined coefficients to solve the given system -4t2 3 -1 X' = 3 -1 t + 2 X(t)
Differential Equations
Please use the LaPlace Transform method
USE LAPLACE TRANSFORM ME 7700 TO solve the following ... 2 ас 11 sint <0,05 (3) 3 -34 t e 3° +6° + 7, <0,05
Problem 7-8: Use the method of undetermined coefficients to find a particular solution of the following differential equations. sin(2t = Solution: I). Y«) - 'e- t cos(2t
3. Solve differential equation by undetermined coefficient methods y" + 2y' +2y = 5 3 4. Solve differential equation by undetermined coefficient methods 1 + 6y +8y = 3 - 2 + 2.
In this bonus you are asked to use the method of undetermined coefficients to solve a higher order non-homogeneous differential equation. The method is pro- cedurally the same as for second order, the main difference in using the method for higher order equations stems from the fact that roots of the characteristic polynomial equation may have multiplicity greater than 2. Consequently, terms proposed for the non-homogeneous part of the solution may need to be multi- plied by higher powers of...
Solve the following second order initial value problem by the method of undetermined coefficients: y'-8y' +16 y = 2e", y(0)=1, y'(0)=0.
1) Question. Solve this constant coefficient linear second order heterogeneous difference equation and conduct a verification: yj+13y-10y;-1 = 10. 2) Question. Solve this constant coefficient linear second order heterogeneous differential equation and conduct a verification: y"-y2y 4a Discretionary hint: use the undetermined coefficients method in relation to the inhomo geneous part, that is, try yp = ax2 + bx + c, plug it into the differential equation and solve for parameters a, b and c, matching their associated arguments.
1)...
Question 2 Given the following second order IVP: y" – 2y' + y = e*, y(0) = 0, y'(0) = 1. 1. Solve it using the undetermined coefficients method. [2 pt] 2. Solve it again using the Laplace Transform. (2.5 pt] 3. Which method did you find easier and why? [0.5 pt]
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