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(c) A = -1 -1-1 1(multiplicity 3) 1 0 1 3. Use the Method of Undetermined...
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 nonhomogeneous system. let 3 X +...
Use the method of undetermined coefficients to solve the given nonhomogeneous system. let 3 X + 6 X(t) =
Use the method of undetermined coefficients to solve the given nonhomogeneous system. X' = 4 1...
Use the method of undetermined coefficients to solve the given nonhomogeneous system. X' = 4 1 3 9 6 X + −5 2 et
Task 3. Solve the following nonhomogeneous equations using the method of undetermined coefficients. IO 1) (0)...
Task 3. Solve the following nonhomogeneous equations using the method of undetermined coefficients. IO 1) (0) (a) · = x + ( ); x(0) = (0,0). 1-1 -2) . It Hint: to find a particular solution, substitute x(t) = tv1 + V2 where V1, V2 are constant vectors, and find conditions on V1, V2. 1-1 1 11 10 (b) <= 10 -1 1 x + 10. 1 0 0 1 ) (0) +- + 1)--) (ezt
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...
help with questions number 4 and 5 only sorry I cropped it Section 4.5 - Method...
help with questions number 4 and 5 only
sorry I cropped it
Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain the general solution y = yet Yp! 1. y" – 8y' – 48y = x2 + 6 2. y" – 6y' = sin (2x) 3. y' + 9y = xe6x Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain...
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)
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the...
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp (2) = Ac? + Br + C, B.yp (2) = AeaF, C. yp (2) = A cos 2x + B sin 2x, D. Yp(x) = (Ar + B) cos 2x + (Cr + D) sin 2x E. yp () = Are, and F. yp(2) = (A cos 2r + B sin 2x) - care se on rest...
1. Second order ODE (25 points) a. Consider the following nonhomogeneous ODEs, find their homogeneous solution,...
1. Second order ODE (25 points) a. Consider the following nonhomogeneous ODEs, find their homogeneous solution, and give the form (no need to determine coefficients) of nonhomogeneous solution. (12 points) i. 44'' + 3y = 4x sin ( *2) ii. J + 2 + 3 = eº cosh(22) b. Find the general solution of y" + 2Dy' + 2D'y = 5Dº cos(Dx) where D is a real constant with following steps i) Determine homogeneous solution, ii) Find nonhomogeneous solution with...
solve it with 3 different ways. first, use method of undetermined coefficient second, use diagonalization third,...
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!'
-} e-2t 2 [
-} e-2t 2 [
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 nonhomogeneous system. let 3 X + 6 X(t) =
Task 3. Solve the following nonhomogeneous equations using the method of undetermined coefficients. IO 1) (0) (a) · = x + ( ); x(0) = (0,0). 1-1 -2) . It Hint: to find a particular solution, substitute x(t) = tv1 + V2 where V1, V2 are constant vectors, and find conditions on V1, V2. 1-1 1 11 10 (b) <= 10 -1 1 x + 10. 1 0 0 1 ) (0) +- + 1)--) (ezt
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...
help with questions number 4 and 5 only
sorry I cropped it
Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain the general solution y = yet Yp! 1. y" – 8y' – 48y = x2 + 6 2. y" – 6y' = sin (2x) 3. y' + 9y = xe6x Section 4.5 - Method of undetermined coefficients, annihilator approach Solve the following using the method of undetermined coefficients, obtain...
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)
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp (2) = Ac? + Br + C, B.yp (2) = AeaF, C. yp (2) = A cos 2x + B sin 2x, D. Yp(x) = (Ar + B) cos 2x + (Cr + D) sin 2x E. yp () = Are, and F. yp(2) = (A cos 2r + B sin 2x) - care se on rest...
1. Second order ODE (25 points) a. Consider the following nonhomogeneous ODEs, find their homogeneous solution, and give the form (no need to determine coefficients) of nonhomogeneous solution. (12 points) i. 44'' + 3y = 4x sin ( *2) ii. J + 2 + 3 = eº cosh(22) b. Find the general solution of y" + 2Dy' + 2D'y = 5Dº cos(Dx) where D is a real constant with following steps i) Determine homogeneous solution, ii) Find nonhomogeneous solution with...
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!'
-} e-2t 2 [
-} e-2t 2 [
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