Find the general solution of y" 14y' +58y 0. y- ce cos(31) +ce sin(3) y-ce cos(3t) + eze 'sin(31) y ce cos(3t) + ce"sin(3t) y-cje"cos(3t) + czesin(3t) -7t 7t
Find the general solution ofy"-3'-28y-0. y(t) = cer + cze-41
Find the general solution ofy"- 130y 0. JC1 + c2e130r ycie +te130r
Find the general solution of y"-30y' 225y 0. cote 15t 15t 15t C2te
Determine the form of a particular solution of the equation. u" + 16u' = 7P-91+ 62t O up = A? + Bt + Ct + D + Ee16 up = t(ar' + B2 + Ct + D) + Ee16
Find the general solution ofy"-131'= 0. yi+zel3ir y = cle-1311 + cel311 + Cate131t C1+ Cte
Find the general solution ofy"-y,-72y-0. -91 8t
0. Find the general solution of y"-4y' +13p O y-ce cos(3t)+ce 2sin(31) O y-cid cos(30 + c2ersin(3) y-ce cos(3)+ c2esin(30) y-ciecos(31)+ ce sin(31) 2t
Determine the form of a particular solution of the equation. up=AP+B? + Ct + D + Ee-7 0 un=t(AP + Bt2 + Ct + D) + Ee-7
Find the general solution of y "-38V, + 361y-0. 19t 19r 19t
Homework Answers
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Determine the form of a particular solution of the equation. 4, NA+B+ Ct+D)+l u-AB2+C+D+ Ee13 up-...
Determine the form of a particular solution for the differential equation. Do not solve. y" -...
Determine the form of a particular solution for the differential equation. Do not solve. y" - 4y' + 5y = e 7 + t sin 6t - cos 6t The form of a particular solution is yp(t)- (Do not use d, D, e, E, I, or I as arbitrary constants since these letters already have defined meanings.)
Question 12 Give the form of a particular solution of (4) – 4y + 13 y"...
Question 12 Give the form of a particular solution of (4) – 4y + 13 y" – 36 y +36y=22* + sin(x) +5 given that r1 - 31 is a root of the characteristic equation. a) z-A 2+ + BCOS(x) + sin(x) +D b) c) z=A7** + Bx cos(3x) + Cx sin(3x) +D z=Ae2+ B cos(x) + C sin(x) +D z-A722* + B cos(x) + sin(x)+D z-A2+ Br 608(3x) + Cx sin(3x) +D d) e)
Problem # 4 termined coefficients to find the particular solution) A) B) C) y-8y' +15y-612 sin(3t)...
Problem # 4 termined coefficients to find the particular solution) A) B) C) y-8y' +15y-612 sin(3t) Problemi # 5 Match Differential Equations with its particular solution b. (At + B)te с.Ae 4t d. Ate e. Ae f Ate Problemi #6 Solve y"-y'-12y -36t + 21, y(0)--5, y'(0) -2
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) +9y" = 5+ (x-3) + 4sin(3x). A + B sin(3x) + Cx sin(3r) + Det + Exer A + Bxe-3x + Cxex + De' + Exet Ax? + Bxe-3x + Cxe3x + Det + Exel none of these Ax? + Bx cos(3x) + Cx sin(3x) + Del + Exe" Ax+ B + C sin(3x) + D...
Problem 4 (12 points) Set-up the most appropriate form of an ansat for the particular solution...
Problem 4 (12 points) Set-up the most appropriate form of an ansat for the particular solution () using the Method of Undetermined Cocflicients. Nood NOT find the values of these undetermined coeflicients. (a) y" 4y 12y = sin(21) (1) y = 2.25
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. (8 Puan y(4) +9y" = 5+ &'(x-3) + 4sin (3x). none of these O Ar? + Bx cos(3x) + Cx sin(3x) + De' + Exet Ar + B + C sin(3x) + D cos(3x) + Exe" A + Bre-3x + Crer + De + Exet O Ar? + Bxe- + Crex + Det + Exe! A + B sin(3x) + Cxsin(3x)...
Find a general solution to the given homogeneous equation. (D+1)?(0-9)º(D+3)(D+ 1) (D? + 49) [y] =...
Find a general solution to the given homogeneous equation. (D+1)?(0-9)º(D+3)(D+ 1) (D? + 49) [y] = 0 Choose the correct answer below. - 3x OA y(x) = C, e ** + C2 e 9x + Cze + C4 COS X + Cs sin x + Cocos 7x + C7 sin 7x OB. y(x) = C, e* + Cze - 9x + C3 e 3x + Ce cos x+Cs sin x+Cg cos 7x+ Cy sin 7x Oc. y(x) = C, e...
Q4 please 4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of...
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
Why c part is not yp= At^2cost +Bt^2sint WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6 +3163 19r2 +3 10 (+1)-2+5).) (b) Find the form of a particular solution of (In oth...
Why c part is not yp= At^2cost +Bt^2sint
WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6 +3163 19r2 +3 10 (+1)-2+5).) (b) Find the form of a particular solution of (In other words, find the form of onc solution of the equation. Do not compute the coefficients.) dr ) Find the form of a particular solution of (Do not compute the coefficients.) CoS tt
WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6...
Consider the equation for the charge on a capacitor in an LRC circuit da + dt2...
Consider the equation for the charge on a capacitor in an LRC circuit da + dt2 +79 = E dt which is linear with constant coefficients. , and find the auxiliary equation (using m as your First we will work on solving the corresponding homogeneous equation. Divide through the equation by the coefficient on variable) = 0 which has roots The solutions of the homogeneous equation are Now we are ready to solve the nonhomogeneous equation + 16 + 634...
Determine the form of a particular solution for the differential equation. Do not solve. y" - 4y' + 5y = e 7 + t sin 6t - cos 6t The form of a particular solution is yp(t)- (Do not use d, D, e, E, I, or I as arbitrary constants since these letters already have defined meanings.)
Question 12 Give the form of a particular solution of (4) – 4y + 13 y" – 36 y +36y=22* + sin(x) +5 given that r1 - 31 is a root of the characteristic equation. a) z-A 2+ + BCOS(x) + sin(x) +D b) c) z=A7** + Bx cos(3x) + Cx sin(3x) +D z=Ae2+ B cos(x) + C sin(x) +D z-A722* + B cos(x) + sin(x)+D z-A2+ Br 608(3x) + Cx sin(3x) +D d) e)
Problem # 4 termined coefficients to find the particular solution) A) B) C) y-8y' +15y-612 sin(3t) Problemi # 5 Match Differential Equations with its particular solution b. (At + B)te с.Ae 4t d. Ate e. Ae f Ate Problemi #6 Solve y"-y'-12y -36t + 21, y(0)--5, y'(0) -2
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) +9y" = 5+ (x-3) + 4sin(3x). A + B sin(3x) + Cx sin(3r) + Det + Exer A + Bxe-3x + Cxex + De' + Exet Ax? + Bxe-3x + Cxe3x + Det + Exel none of these Ax? + Bx cos(3x) + Cx sin(3x) + Del + Exe" Ax+ B + C sin(3x) + D...
Problem 4 (12 points) Set-up the most appropriate form of an ansat for the particular solution () using the Method of Undetermined Cocflicients. Nood NOT find the values of these undetermined coeflicients. (a) y" 4y 12y = sin(21) (1) y = 2.25
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. (8 Puan y(4) +9y" = 5+ &'(x-3) + 4sin (3x). none of these O Ar? + Bx cos(3x) + Cx sin(3x) + De' + Exet Ar + B + C sin(3x) + D cos(3x) + Exe" A + Bre-3x + Crer + De + Exet O Ar? + Bxe- + Crex + Det + Exe! A + B sin(3x) + Cxsin(3x)...
Find a general solution to the given homogeneous equation. (D+1)?(0-9)º(D+3)(D+ 1) (D? + 49) [y] = 0 Choose the correct answer below. - 3x OA y(x) = C, e ** + C2 e 9x + Cze + C4 COS X + Cs sin x + Cocos 7x + C7 sin 7x OB. y(x) = C, e* + Cze - 9x + C3 e 3x + Ce cos x+Cs sin x+Cg cos 7x+ Cy sin 7x Oc. y(x) = C, e...
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
Why c part is not yp= At^2cost +Bt^2sint
WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6 +3163 19r2 +3 10 (+1)-2+5).) (b) Find the form of a particular solution of (In other words, find the form of onc solution of the equation. Do not compute the coefficients.) dr ) Find the form of a particular solution of (Do not compute the coefficients.) CoS tt
WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6...
Consider the equation for the charge on a capacitor in an LRC circuit da + dt2 +79 = E dt which is linear with constant coefficients. , and find the auxiliary equation (using m as your First we will work on solving the corresponding homogeneous equation. Divide through the equation by the coefficient on variable) = 0 which has roots The solutions of the homogeneous equation are Now we are ready to solve the nonhomogeneous equation + 16 + 634...
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