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5. Use the method of undetermined coefficients to find the general solutions of the fol- lowing...
(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(x) = Ar? + Bx + C, B. yp(x) = Ae2t, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axezt, and F. yp(x) = e3* (A cos 2x + B sin 2x) 1. dPy dx2 dy 5- dx +...
Find the general solution of the following 2nd order linear nonhomogeneous ODEs with constant coefficients. If...
Find the general solution of the following 2nd order linear nonhomogeneous ODEs with constant coefficients. If the initial conditions are given, find the final solution. Apply the Method of Undetermined Coefficients. 7. y" + 5y' + 4y = 10e-3x 8. 10y" + 50y' + 57.6y = cos(x) 9. y" + 3y + 2y = 12x2 10. y" - 9y = 18cos(ix) 11. y" + y' + (? + y = e-x/2sin(1x) 12. y" + 3y = 18x2; y(0) = -3,...
Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following...
Exercise 2.5.152: Apply the method of undetermined coefficients
to find the general solution to the following DEs. Determine the
form and coefficients of yp
Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following DEs. Determine the form and coefficients of yp a) y" – 2y' = 8x + 5e3x b) y'"' + y" – 2y' = 2x + e2x c) y'' + 6y' + 13y = cos x d) y'" + y" –...
(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...
Solve by the Method of Undetermined Coefficients. 1. " - 3y' - 4y = 3e2x (ans....
Solve by the Method of Undetermined Coefficients. 1. " - 3y' - 4y = 3e2x (ans. y = C1e4x + cze* - e2x) 2. " - 4y = 4e3x (ans. y = C1 e - 2x + C2 e 2x + 4/5 e3x) 3. 2y" + 3y' + y = x2 + 3 sin x (ans. y = ci e-* + C2 e-x/2 + x2 - 6x + 14 - 3/10 sin x- 9/10 cos x) 4. Y" + y'...
By using the method of undetermined coefficients, find the general solution of the following differential equation...
By using the method of undetermined coefficients, find the
general solution of the following differential equation
(f) /' + 4y = cos 2x.
undetermined coefficents solutions with designated method please complete circled equations 4. Find the general solution by...
undetermined coefficents solutions with designated method
please complete circled equations
4. Find the general solution by undetermined coethcies "+4y Sr +4sin(2). cos(2) +c2 sin(2r). SOLUTION: The homogeneous solution is +4-02 does match ga so we must multiply by z. So For the particular solution, Se Ae2 which does not match h. But B cos(2z)+Csin(2) Ae Br cos(2x)+ Cr sin(2r) (Bs cos(2x) )" = 0cm(2x)-,4B sin(2x)-4B2 cos(2z), Using ()"-f'g+2f's+is", we have Ca sin(2x)Osin(2r)+4C cos(22)-4Cz sin(2r). So plugging Vo in for y,...
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of t...
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Find the general solution of y'' + y'-6y=(9x-2)e^(2x). (Use the method of undetermined coefficients) Please show...
Find the general solution of y'' + y'-6y=(9x-2)e^(2x).
(Use the method of undetermined coefficients)
Please show all work and steps!
2. Find a general solution of y" + y' - 6y = (9.C -- 2)e2.. (22 p'ts, use the method of undeter- mined coefficients.)
Use undetermined coefficients to find the particular solution to y’’ – 4y' + 3y = e*((22...
Use undetermined coefficients to find the particular solution to y’’ – 4y' + 3y = e*((22 – 122 )cos(3x) + (58 + 362 )sin(3x)) Yp(x) = Preview
(1 point) Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ar? + Bx + C, B. yp(x) = Ae2t, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axezt, and F. yp(x) = e3* (A cos 2x + B sin 2x) 1. dPy dx2 dy 5- dx +...
Find the general solution of the following 2nd order linear nonhomogeneous ODEs with constant coefficients. If the initial conditions are given, find the final solution. Apply the Method of Undetermined Coefficients. 7. y" + 5y' + 4y = 10e-3x 8. 10y" + 50y' + 57.6y = cos(x) 9. y" + 3y + 2y = 12x2 10. y" - 9y = 18cos(ix) 11. y" + y' + (? + y = e-x/2sin(1x) 12. y" + 3y = 18x2; y(0) = -3,...
Exercise 2.5.152: Apply the method of undetermined coefficients
to find the general solution to the following DEs. Determine the
form and coefficients of yp
Exercise 2.5.152: Apply the method of undetermined coefficients to find the general solution to the following DEs. Determine the form and coefficients of yp a) y" – 2y' = 8x + 5e3x b) y'"' + y" – 2y' = 2x + e2x c) y'' + 6y' + 13y = cos x d) y'" + y" –...
(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...
Solve by the Method of Undetermined Coefficients. 1. " - 3y' - 4y = 3e2x (ans. y = C1e4x + cze* - e2x) 2. " - 4y = 4e3x (ans. y = C1 e - 2x + C2 e 2x + 4/5 e3x) 3. 2y" + 3y' + y = x2 + 3 sin x (ans. y = ci e-* + C2 e-x/2 + x2 - 6x + 14 - 3/10 sin x- 9/10 cos x) 4. Y" + y'...
By using the method of undetermined coefficients, find the
general solution of the following differential equation
(f) /' + 4y = cos 2x.
undetermined coefficents solutions with designated method
please complete circled equations
4. Find the general solution by undetermined coethcies "+4y Sr +4sin(2). cos(2) +c2 sin(2r). SOLUTION: The homogeneous solution is +4-02 does match ga so we must multiply by z. So For the particular solution, Se Ae2 which does not match h. But B cos(2z)+Csin(2) Ae Br cos(2x)+ Cr sin(2r) (Bs cos(2x) )" = 0cm(2x)-,4B sin(2x)-4B2 cos(2z), Using ()"-f'g+2f's+is", we have Ca sin(2x)Osin(2r)+4C cos(22)-4Cz sin(2r). So plugging Vo in for y,...
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Question Three: (7 marks) (a) Find the general solution of the following homogeneous equation. (b) Apply the method of Undetermined Coefficients to write ONLY the form of the particular solution of the following nonhomogeneous equation "-2y+5y 24re* cos(2x).
Find the general solution of y'' + y'-6y=(9x-2)e^(2x).
(Use the method of undetermined coefficients)
Please show all work and steps!
2. Find a general solution of y" + y' - 6y = (9.C -- 2)e2.. (22 p'ts, use the method of undeter- mined coefficients.)
Use undetermined coefficients to find the particular solution to y’’ – 4y' + 3y = e*((22 – 122 )cos(3x) + (58 + 362 )sin(3x)) Yp(x) = Preview
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