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y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins 6 36 Oy=c+ c2 26 76 36 + In 3 6 6 27 Oy=4+ c227 + In 7 ...7 49 Oy=q+cqz? 27 In 2 49 +7 None of the above b) Solve the differential equation: 9z+y" + 9xy' +25y = 0 Oy= cos(5 ln /3) + sin(5 In 3/3) Oy=425 +2.23 Oy=C1 cos(52/3) + 2 sin(5x/3) y=4125 + c2205 in None of the above...
Solve the differential equation: Y" + y = sec(x) given that the complimentary solution is ye(s)...
Solve the differential equation: Y" + y = sec(x) given that the complimentary solution is ye(s) = ci cos(x) + c2 sin(x)
First use (20) in Section 6.4. y'' + 1 − 2a x y' + b2c2x2c − 2 + a2 − p2c2 x2...
First use (20) in Section 6.4.
y'' +
1 − 2a
x
y' +
b2c2x2c − 2 +
a2 − p2c2
x2
y = 0, p ≥
0 (20)
Express the general solution of the given differential equation
in terms of Bessel functions. Then use (26) and (27)
J1/2(x)
=
2
πx
sin(x)
(26)
J−1/2(x)
=
2
πx
cos(x)
(27)
to express the general solution in terms of elementary
functions. (The definitions of various Bessel functions are given
here.)
y''...
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx²...
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+...
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+ 36y o y(x) 10. Question Details zomEQ9 4.3.015. Find the general solution of the given higher-order differential equation. yx) - 11.Question Details ZIDTEQ9 4.3.029 Solve the given initial-value problem. y" + 36y-o, y(0)-7, yto)--5 ytx)- 12. Question Details ZIMDifTEQ9 4.4 Solve the given differential equation by undetermined coefficients. y"-6y' + 9y # 6x + 5 y(x)- 13. Question Details ZillDiffE Solve the given differential...
verify that the given function is a solution to the given differential equation (c1 andc2 arbitrary...
verify that the given function is a solution to the given
differential equation (c1 andc2 arbitrary constants), and state the
maximum interval over which the solution is valid.
8. y(x) = cj cos 2x + c2 sin 2x, y + 4y = 0.
Solve i. and ii. Given the ordinary differential equation: cos(x)y' = sin(x)y + 1 Find the...
Solve i. and ii. Given the ordinary differential equation: cos(x)y' = sin(x)y + 1 Find the general solution of the given differential equation. ii. Solve the ordinary differential equation: ay' + by = a cos(wx) + Bsen(wx) Where: a, b, a,ß and w are nonzero real constants.
Solve the given differential equation by undetermined coefficients. y'' − 2y' + 2y = e^2x(cos(x) −...
Solve the given differential equation by undetermined coefficients. y'' − 2y' + 2y = e^2x(cos(x) − 8 sin(x))
Question 2 (15 points) Solve the differential equation for the general solution y 6y' 73y 0...
Question 2 (15 points) Solve the differential equation for the general solution y 6y' 73y 0 y(t) C cos(3t) C2 sin(3t) y(t) = C1 cos(8t) + C2 sin(8t) y(t) cos(8t) +C2e" sin(St) y(t) Ce cos(8t) Cest sin (8t) y (t) = Cleft cos (8t) + C2eft sin (8t) (t)Cest cos(9)Cesin (9t) Previous Page Next Page Page 2 of9
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"-...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins 6 36 Oy=c+ c2 26 76 36 + In 3 6 6 27 Oy=4+ c227 + In 7 ...7 49 Oy=q+cqz? 27 In 2 49 +7 None of the above b) Solve the differential equation: 9z+y" + 9xy' +25y = 0 Oy= cos(5 ln /3) + sin(5 In 3/3) Oy=425 +2.23 Oy=C1 cos(52/3) + 2 sin(5x/3) y=4125 + c2205 in None of the above...
Solve the differential equation: Y" + y = sec(x) given that the complimentary solution is ye(s) = ci cos(x) + c2 sin(x)
First use (20) in Section 6.4.
y'' +
1 − 2a
x
y' +
b2c2x2c − 2 +
a2 − p2c2
x2
y = 0, p ≥
0 (20)
Express the general solution of the given differential equation
in terms of Bessel functions. Then use (26) and (27)
J1/2(x)
=
2
πx
sin(x)
(26)
J−1/2(x)
=
2
πx
cos(x)
(27)
to express the general solution in terms of elementary
functions. (The definitions of various Bessel functions are given
here.)
y''...
Solve the given differential equation. 9) dy + y = 14 +6 cos 3x 9) dx² B) y = ci sin x + c2 cos A) y=cı sin x +c2 cos x + cos 3x +14 C)y=cı sin x +c2 cos x - cos 3x +14 D) y=q sin x +02 cos x - sin 3x+14
9. Question Details ZIDIFEQ9 4.3.009.(38 Find the general solution of the given second-order differential equation. y"+ 36y o y(x) 10. Question Details zomEQ9 4.3.015. Find the general solution of the given higher-order differential equation. yx) - 11.Question Details ZIDTEQ9 4.3.029 Solve the given initial-value problem. y" + 36y-o, y(0)-7, yto)--5 ytx)- 12. Question Details ZIMDifTEQ9 4.4 Solve the given differential equation by undetermined coefficients. y"-6y' + 9y # 6x + 5 y(x)- 13. Question Details ZillDiffE Solve the given differential...
verify that the given function is a solution to the given
differential equation (c1 andc2 arbitrary constants), and state the
maximum interval over which the solution is valid.
8. y(x) = cj cos 2x + c2 sin 2x, y + 4y = 0.
Solve i. and ii. Given the ordinary differential equation: cos(x)y' = sin(x)y + 1 Find the general solution of the given differential equation. ii. Solve the ordinary differential equation: ay' + by = a cos(wx) + Bsen(wx) Where: a, b, a,ß and w are nonzero real constants.
Question 2 (15 points) Solve the differential equation for the general solution y 6y' 73y 0 y(t) C cos(3t) C2 sin(3t) y(t) = C1 cos(8t) + C2 sin(8t) y(t) cos(8t) +C2e" sin(St) y(t) Ce cos(8t) Cest sin (8t) y (t) = Cleft cos (8t) + C2eft sin (8t) (t)Cest cos(9)Cesin (9t) Previous Page Next Page Page 2 of9
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
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