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![= 7x2x fy_syltsy The complementary function ] e, en teen Hence the particular integral is Yp(a) = (A 29484+e)? Y(17) Ax² + Ba](http://img.homeworklib.com/questions/883faf70-fc48-11ea-9c8d-dd707bf022e8.png?x-oss-process=image/resize,w_560)
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1. (20) For each question, determine the form of y, for the given DE. Do not...
1. (20) For each question, determine the form of y, for the given DE. Do not...
1. (20) For each question, determine the form of y, for the given DE. Do not solve for A,B,C,... Write your answer in the box. (a) y" - 58/ + 6y - 11 cos 4t Ye = ciel + 2 (b) y" - 5y' +6y=4r?+3 Ye = cle* + e- (c) y" - 5y +6y=-7x*B Ye = ce + c3e2- Yp = (d) y" – 5y + 6y = -7?e22 Yc = Cier + cze? Yp = (e) y" -...
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y'...
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y' + 6y = ex cos 2x + e2x(3x + 4) sin x (ans. this is #21(a) in sec. 3.6) 2. y" - 3 y' - 4 y = 3 e2x + 2 sin x - 8eXcos 2x (ans. Yp = Ae2x + B cos x + C sin x + De* cos 2x + E e sin 2x) V. Solve by variation of parameters....
Which of the following represents the form of the particular solution y, of the differential equation?...
Which of the following represents the form of the particular solution y, of the differential equation? y" + 2y' - 24y = 372 +2cos(51) Ovp = Ar? + Bcos(5t) + C O yp= Ar? +8sin(58) Yp - Al? + B+ + C + Dcos(5t) + Esin(58) Ovo - Ar+ Bcos(5t) + Csin(51)
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine...
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is.) 1. (2xy + cos y) dx + (x2 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
7. A pa. ticular solution of y"-2y,-81-2 cos 4x + 3e-2c + 10 will have the...
7. A pa. ticular solution of y"-2y,-81-2 cos 4x + 3e-2c + 10 will have the form: (a) y A cos 4r +Bsin 4Ce2 + D (b) y = Acos 4x + B sin 4x + Cre-2r + D ( c) y=Acos 4x + B sin 4x + Cre-2c + Dr (d) y A cos 4x + B sin 4x + C'e_2x + Dr + E (e) None of the above.
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem)....
solution for all 4 please
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
solve number 2 for me pls. Step (1) "Rules for Guessing": 1. If y(x) = ek...
solve number 2 for me pls.
Step (1) "Rules for Guessing": 1. If y(x) = ek *. guess that yp(I) = Acts then find A 2. If g(x) = sin(kx), guess that y(x) = A cos(kt) + B sin(kt) then find A and B 3. If g(x) = cos(kx), guess that yp(x) = A cos(kt) + B sin(kt) then find A and B 4. If g(x) is a polyonomial of degree n, guess that ypa) Ao + AX + A₂x²...
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e Use va...
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e
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.)
1. (20) For each question, determine the form of y, for the given DE. Do not solve for A,B,C,... Write your answer in the box. (a) y" - 58/ + 6y - 11 cos 4t Ye = ciel + 2 (b) y" - 5y' +6y=4r?+3 Ye = cle* + e- (c) y" - 5y +6y=-7x*B Ye = ce + c3e2- Yp = (d) y" – 5y + 6y = -7?e22 Yc = Cier + cze? Yp = (e) y" -...
IV. Determine the form for yp but do NOT evaluate the constants. 1. y" - 5y' + 6y = ex cos 2x + e2x(3x + 4) sin x (ans. this is #21(a) in sec. 3.6) 2. y" - 3 y' - 4 y = 3 e2x + 2 sin x - 8eXcos 2x (ans. Yp = Ae2x + B cos x + C sin x + De* cos 2x + E e sin 2x) V. Solve by variation of parameters....
Which of the following represents the form of the particular solution y, of the differential equation? y" + 2y' - 24y = 372 +2cos(51) Ovp = Ar? + Bcos(5t) + C O yp= Ar? +8sin(58) Yp - Al? + B+ + C + Dcos(5t) + Esin(58) Ovo - Ar+ Bcos(5t) + Csin(51)
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is.) 1. (2xy + cos y) dx + (x2 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
7. A pa. ticular solution of y"-2y,-81-2 cos 4x + 3e-2c + 10 will have the form: (a) y A cos 4r +Bsin 4Ce2 + D (b) y = Acos 4x + B sin 4x + Cre-2r + D ( c) y=Acos 4x + B sin 4x + Cre-2c + Dr (d) y A cos 4x + B sin 4x + C'e_2x + Dr + E (e) None of the above.
solution for all 4 please
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
solve number 2 for me pls.
Step (1) "Rules for Guessing": 1. If y(x) = ek *. guess that yp(I) = Acts then find A 2. If g(x) = sin(kx), guess that y(x) = A cos(kt) + B sin(kt) then find A and B 3. If g(x) = cos(kx), guess that yp(x) = A cos(kt) + B sin(kt) then find A and B 4. If g(x) is a polyonomial of degree n, guess that ypa) Ao + AX + A₂x²...
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e
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.)
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