Match the corresponding non-homogeneous equations with the corresponding types of solution considered by applying Undetermined coefficients. ✓y (4) + 2y (3) - 2y-y=e¹ y (4) +2y (3)-2-y=3-1+1² - V (4) — 2y (3) — 2y + 6y + 5y=e¹ y (4) - 2y (3) - 2y + 6y + 5y = e²cos 1 A. general solution of the homogeneous equation: y(r)=c one solution of the non-homogeneous equation of the form: Y (1) = 1²Ae B. general solution of the homogenenous equation: y(t)=ce'+ce solution of the non-homgeneous equation of the form: Y (t) = Ar³e¹ e²cost +ce²¹ sin C. general solution of the homogeneous equation: y(i)=c₁e²+ce¯¹+¢‚¢€¯¹+¢¿³²€¯ solution of the non-homogeneous equation of the form: Y_(t) = A + Br+Cr² D general solution of the homogneous equation: y(t) =c₁e¹+te+c₂e²cos: +ce² sin one solution of the non-homogeneous equation of the form Y (1) = 1(Aecos r + Be²sinr)
Match the corresponding non-homogeneous equations with the corresponding types of solution considered by applying Undetermined coefficients. ✓y (4) + 2y (3) - 2y-y=e¹ y (4) +2y (3)-2-y=3-1+1² - V (4) — 2y (3) — 2y + 6y + 5y=e¹ y (4) - 2y (3) - 2y + 6y + 5y = e²cos 1 A. general solution of the homogeneous equation: y(r)=c one solution of the non-homogeneous equation of the form: Y (1) = 1²Ae B. general solution of the homogenenous equation: y(t)=ce'+ce solution of the non-homgeneous equation of the form: Y (t) = Ar³e¹ e²cost +ce²¹ sin C. general solution of the homogeneous equation: y(i)=c₁e²+ce¯¹+¢‚¢€¯¹+¢¿³²€¯ solution of the non-homogeneous equation of the form: Y_(t) = A + Br+Cr² D general solution of the homogneous equation: y(t) =c₁e¹+te+c₂e²cos: +ce² sin one solution of the non-homogeneous equation of the form Y (1) = 1(Aecos r + Be²sinr)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
match non-homogenous equations to soultions with undetermined coe.
![Match the corresponding non-homogeneous equations with the corresponding types of solution considered by applying Undetermined coefficients.
A.
-✔y (4) +2y (3)-2y-y=et
✓y (4) +2y (3)-2y-y=3-1+1²
-y (4)-2y (3) - 2y + 6y + 5y = e
y (4) - 2y (3) - 2y + 6y + 5y = e²cost
B.
e²cost+c
general solution of the homogeneous equation: y(t) =c₁e
te+c₂
one solution of the non-homogeneous equation of the form: Y (1) = 1²Ae¯¹
sint
general solution of the homogenenous equation: y(t)=c₁e¹+c₂e²¹+c₂te
solution of the non-homgeneous equation of the form: Y_(t) = Ar³e
C-general solution of the homogeneous equation: y(t) =c₁e'+c₂e+c₂te]
solution of the non-homogeneous equation of the form: Y (1) = A + Br+C₁²
D.general solution of the homogneous equation: y(t) =c₁e¯'+c₂te¯¹+c₂e²ª¹cos 1 +ce² sint
one solution of the non-homogeneous equation of the form Y (1) = 1(Ae²cost + Be ²¹ sint)
- cre -](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47a605b-1167-4b41-bc40-883b330bf596%2Ff4a79885-252b-4599-9bd9-8853724b4c68%2F0e1qghh_processed.png&w=3840&q=75)
Transcribed Image Text:Match the corresponding non-homogeneous equations with the corresponding types of solution considered by applying Undetermined coefficients.
A.
-✔y (4) +2y (3)-2y-y=et
✓y (4) +2y (3)-2y-y=3-1+1²
-y (4)-2y (3) - 2y + 6y + 5y = e
y (4) - 2y (3) - 2y + 6y + 5y = e²cost
B.
e²cost+c
general solution of the homogeneous equation: y(t) =c₁e
te+c₂
one solution of the non-homogeneous equation of the form: Y (1) = 1²Ae¯¹
sint
general solution of the homogenenous equation: y(t)=c₁e¹+c₂e²¹+c₂te
solution of the non-homgeneous equation of the form: Y_(t) = Ar³e
C-general solution of the homogeneous equation: y(t) =c₁e'+c₂e+c₂te]
solution of the non-homogeneous equation of the form: Y (1) = A + Br+C₁²
D.general solution of the homogneous equation: y(t) =c₁e¯'+c₂te¯¹+c₂e²ª¹cos 1 +ce² sint
one solution of the non-homogeneous equation of the form Y (1) = 1(Ae²cost + Be ²¹ sint)
- cre -
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