b. Determine the general solution of the given equation using method of undetermined coefficients y' +9y...

Question

Question

b. Determine the general solution of the given equation using method of undetermined coefficients y +9y = 2 sin 3x + 4 sin x

Answer 1

Answer #1

b Ytay 3 zsinart Asinx-260 +278 (0²4937 22 = zsin3xf 4 sink - 26ē +2423 Y = a sinza 454-26277 278 orta Particular solution :

Final Solution (fo = =CF + PI FS fs 5 lus 3 a 4 csinas+ [ 253 x _ newsnert) a -24 As =ęcos3xf Gsinsx-x cozr_reash-het - za 3

Answer 2

Similar Homework Help Questions

Need the answer as soon as possible a. Show that y = y + y2 is...

Need the answer as soon as possible a. Show that y = y + y2 is a solution of y" + P(x)y' + Q(x)y = T (x) + T2(x) if y, and y, are the solution of the following equations respectively; y + P(x)y' + Q(x)y = Ti(x) and y" + P(x)y' + Q(x)y = T2(x) (CO2:P01 - 4 Marks) b. Determine the general solution of the given equation using method of undetermined coefficients y" +9y = 2 sin 3x...
5. Use the method of undetermined coefficients to find the general solutions of the fol- lowing...

5. Use the method of undetermined coefficients to find the general solutions of the fol- lowing nonhomogeneous equations (a) y'' – y = 12xe® + 3e2x + 10 cos 3x (b) y" + 4y = 2 cos 2x sin 2x (c) (Euler Equation) x²y" – 4xy' + 6y = x², x > 0
8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1...

8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1 COS X (a) y=ce' +ce' + -cosx 2 (b) y = ce' +cxe'+ (c) y = cxe' +cze cos x (d) y= c,e* + c xe" COSX 1 (e) y=ce' + ce + sinx 2 (f) y=ce' + exe* + sin x 2 (g) y=cxe' + e*- sinx 2 (h) y=ce' + cxe' 1 sinx 9. Use the method of undetermined coefficients to find...

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.
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 by using the method of undetermined coefficients for obtaining the particular solution. y''-y'-2y=2sin(x) - 3e^(-x)
5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients:...

5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.

5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients:...

5. (10 points) Find the general solution to the DE using the method of Undetermined Coefficients: y" + 2y' + 5y = 3 sin 2x.
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" –...
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...

Find a particular solution to the differential equation using the Method of Undetermined Coefficients. y" -...

Find a particular solution to the differential equation using the Method of Undetermined Coefficients. y" - y' + 196y = 14 sin (14) A solution is yp(t) =