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5. Find the general solution to the equation. Use the amplitude-phase notation for its particular part....
15. Use the method of undetermined coefficients to find a particular solution to the equation below...
15. Use the method of undetermined coefficients to find a particular solution to the equation below (you must solve for all the constants!). Then use your particular solution to find a general solution to the equation (give an explicit final answer in the form “y = ..."). dy day · +37-10y = 30t2 dt2 dt
Find the general solution of the following non-homogeneous differential equation d 2 y dt2 + 2...
Find
the general solution of the following non-homogeneous differential
equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be
the general solution you find, when happen if we take lim t→+∞
y(t)?
2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
Find the general solution of the differential equation by using the system of linear equation. pl...
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
Solve the IVP and use the result to find amplitude and the phase shift (in degree)....
Solve the IVP and use the result to find amplitude and the phase shift (in degree). y" +4 y = 0, y(0) = 1, y'(0) = -2 Amplitudes = (2)^0.5, phase shift = 135 Amplitudes = 2, phase shift = 135 Amplitudes = (2)^0.5, phase shift = 45 Amplitudes = (2)^0.5, phase shift = -45 A mass of 0.5 kg stretches a spring by 70 cm. The damping constant is c=2. External vibrations create a force of F(t) = 0.5...
dy (c) Write the first order differential equation x-y-x0 in standard form and find its general solution and then find the particular solution passing through (-2,4) (d) r (e) For what values of c do...
dy (c) Write the first order differential equation x-y-x0 in standard form and find its general solution and then find the particular solution passing through (-2,4) (d) r (e) For what values of c does the integadx converge? al-dx converge? x(In x) O Inrlde -1 In x lux 2e Ch) In In xdr
dy (c) Write the first order differential equation x-y-x0 in standard form and find its general solution and then find the particular solution passing through (-2,4)
(d)...
I need help with these! 3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain...
I need help with these!
3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
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...
21.6 A,B,C,D result given in part c of this exercise. 21.6. Consider a damped mass/spring system...
21.6 A,B,C,D
result given in part c of this exercise. 21.6. Consider a damped mass/spring system given by m dy gdy tr dt + ky = Fo cos(nt) where m. y. K and Fo are all positive constants. (This is the same as equation (214) a. Using the method of educated guess, derive the particular solution given by equation ser (21.10) on page 409. genelaidi b. Then show that the solution in the previous part can be rewritten as described...
25 &27 In Problems 15-28 find the general solution of the given higher-order differential equation. 15...
25
&27
In Problems 15-28 find the general solution of the given higher-order differential equation. 15 y" – 4y" – 5y' = 0 16. y' – y = 0 y'' – 5y" + 3y' + 9y = 0) 18. y' + 3y" – 4y' - 12y = 0 30 d²u 19. d13 + d²u - 2u=0 dt? d²x d²x an de dt2 4x = 0 21. y' + 3y" + 3y' + y = 0 22. y" – 6y" +...
15. Use the method of undetermined coefficients to find a particular solution to the equation below (you must solve for all the constants!). Then use your particular solution to find a general solution to the equation (give an explicit final answer in the form “y = ..."). dy day · +37-10y = 30t2 dt2 dt
Find
the general solution of the following non-homogeneous differential
equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be
the general solution you find, when happen if we take lim t→+∞
y(t)?
2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
Solve the IVP and use the result to find amplitude and the phase shift (in degree). y" +4 y = 0, y(0) = 1, y'(0) = -2 Amplitudes = (2)^0.5, phase shift = 135 Amplitudes = 2, phase shift = 135 Amplitudes = (2)^0.5, phase shift = 45 Amplitudes = (2)^0.5, phase shift = -45 A mass of 0.5 kg stretches a spring by 70 cm. The damping constant is c=2. External vibrations create a force of F(t) = 0.5...
dy (c) Write the first order differential equation x-y-x0 in standard form and find its general solution and then find the particular solution passing through (-2,4) (d) r (e) For what values of c does the integadx converge? al-dx converge? x(In x) O Inrlde -1 In x lux 2e Ch) In In xdr
dy (c) Write the first order differential equation x-y-x0 in standard form and find its general solution and then find the particular solution passing through (-2,4)
(d)...
I need help with these!
3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
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...
21.6 A,B,C,D
result given in part c of this exercise. 21.6. Consider a damped mass/spring system given by m dy gdy tr dt + ky = Fo cos(nt) where m. y. K and Fo are all positive constants. (This is the same as equation (214) a. Using the method of educated guess, derive the particular solution given by equation ser (21.10) on page 409. genelaidi b. Then show that the solution in the previous part can be rewritten as described...
25
&27
In Problems 15-28 find the general solution of the given higher-order differential equation. 15 y" – 4y" – 5y' = 0 16. y' – y = 0 y'' – 5y" + 3y' + 9y = 0) 18. y' + 3y" – 4y' - 12y = 0 30 d²u 19. d13 + d²u - 2u=0 dt? d²x d²x an de dt2 4x = 0 21. y' + 3y" + 3y' + y = 0 22. y" – 6y" +...
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