25 &27 In Problems 15-28 find the general solution of the given higher-order differential equation. 15...

Question

Question

25 &27

Answer 1

Answer #1

7: 25 To dy peady tayo dut dae Its auxillomyequution is 1674 +24 m2 +9=0 (4 m2)2+ 8?+ 2x4mn 3 =0.. 14 m2 +3.92=0 4m²+3= 6 m² I hope you like this.

Answer 2

Similar Homework Help Questions

Can you please show number #25, #27 (Please make work readable) 21. y" + 3y" +...

Can you please show number #25, #27 (Please make work readable) 21. y" + 3y" + 3y' + y = 0 22. y" – 6y" + 12y' – 8y = 0 23. y(a) + y + y" =0 24. y(4) – 2y" +y=0 In Problems 1-14 find the general solution of the given second-order differential equation. 1. 4y" + y' = 0 2. y" – 36y = 0 3. y" - y' - 6y = 0 4. y" – 3y'...
homo 2nd order linear equations is necessarily the number -b/2a)]. 1. Find the general solution to...

homo 2nd order linear equations is necessarily the number -b/2a)]. 1. Find the general solution to the following homogeneous differential equations. (a) y" - 2y + y = 0 (b) 9y" + 6y + y = 0 (c) 4y" + 12y +9y = 0 (d) y' - 6y +9y = 0 2. Solve the the following initial value problems. (a) 9y" - 12y + 4y = 0 with y(0) = 2 and y(0) = -1 (b) y' + 4y +...
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,...

2nd order linear homogeneous Find the general solution to the following homogeneous differential equations (you answers...

2nd order linear homogeneous Find the general solution to the following homogeneous differential equations (you answers must have two arbitrary constants (you may use any letters, for example p and q or m and n instead of ki and k2 - notation doesn't matter here]). y" + 2y' – 3y = 0 (b) 6y" – y-y=0 (c) y" + 5y = 0 (d) y" - 9y' +9y 0 The two constants, e.g. ki and k2, determine (and are determined by)...
(24 points) Find the solution of each of the following initial value problems: a) xy' +...

(24 points) Find the solution of each of the following initial value problems: a) xy' + 3y = x V),y(1) = 0 (Bernoulli equation) 18 1 b) y" – 4y - 12y = 3e St, y (0) = , y'(0) - (Hint: use the method of undetermined coefficients) c) (2xy - 9x) dx + (2y + x2 + 1) dy = 0,y (0) = - 3 (Hint: first show this is an exact DE) = -1 7
solve 5c 5. (24 points) Find the solution of each of the following initial value problems:...

solve 5c 5. (24 points) Find the solution of each of the following initial value problems: a) xy' + 3y = x V),y (1) = 0 (Bernoulli equation) 18 b) y" – 4y' – 12y = 3e5, y (0) =- (Hint: use the method of undetermined 7 coefficients) c) (2xy - 9x?) dx + (2y + x2 + 1) dy = 0,y (0) = - 3 (Hint: first show this is an exact DE)

Find the general solution of the second order constant coeﬃcient linear ODEs 7. Find the general...

Find the general solution of the second order constant coeﬃcient linear ODEs 7. Find the general solution of the second order constant coefficient linear ODE. (a) y" +2y = 0 (b) 2y" – 3y +y=0 (c) y" – 2y – 2y = 0 (d) y" – 2y + 2y = 0 (e) y" + 2y - 8y = 0 (f) y" +9y=0 (g) y" – 4y + 4y = 0 (h) 25y" – 10y' +y=0
5. Find the general solution of the following differential equations: (a) 6"-5y y 0 (b) 4y"+12y9y...

5. Find the general solution of the following differential equations: (a) 6"-5y y 0 (b) 4y"+12y9y 0 (c)2" 3y 6. Solve the following initial value problems:
2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential...

2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in y, (a) (10 points) y" – 9y' - 22y = 5xe -2x (b) (10 points) y" - 4y + 29 y = 8xsin 3x

Find the general solution of the given second-order differential equation. 27"-3y + 4y = 0 Upload...

Find the general solution of the given second-order differential equation. 27"-3y + 4y = 0 Upload a completed solution of your work as a PDF, JPEG or DOCX file. Upload Choose a File Question 5 Find the general solution for the given second order differential equation. - 64+25 y = 0 Please show all work and upload a file (PDF, JPG, DOCX) of the work and circle your final answer. Upload Choose a File