The general solution of 2r³y"+ry'-y-0 is. B.y=c₁t+ A. y = c₂z+₂√F D. y=+ C. y = 2 + √² tion to y" + 4y = 4² where (Ao. A₁.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 1 please
C. y=+₂√7
2. (
) Let Y(t)= At+ A₁t+ A₂ be a solution to y" + 4y = 4 where (A, A₁, A₂) are
constants. Then A₂ equal to
A. -1
B. 4
A. y =q₁z+₂√7
D. y=+
3. (
A. yage 2+₂+²
D. y ce+c₂e-2 +₂e
4. (
The general solution of 2r³y"+ry'-y=0 is.
B. y = ₁+
A. (5,15)
5. (2,
6. (2
7. (7
The general solution of y""+y"-4y'- 4y=0 is.
B. y=ce2+₂+²
(z-5)*.
D. (-10,5)
The minimum radius of convergence of power sreies solution about z = 1 of the ODE
(22-25)y"+ 2xy' + y = 0..
A. 6
B. 5
8. (
C. I
he open interval of convergence of
B. (-5,15)
A. irregular singular
D. None of them
C. (-10,10)
D.
C. y=c₁e+₂+gel
C. 4
D. 0
For ODE (2-4)2y" +3(2-2)y' + 5y=0 the point r=-2 is.
B. ordinary
Use power series to solve the equation y" +9y=0
C. regular singular
Use the method of variation of parameter to solve ry" - 2xy' +2y=3√√.
Transcribed Image Text:C. y=+₂√7 2. ( ) Let Y(t)= At+ A₁t+ A₂ be a solution to y" + 4y = 4 where (A, A₁, A₂) are constants. Then A₂ equal to A. -1 B. 4 A. y =q₁z+₂√7 D. y=+ 3. ( A. yage 2+₂+² D. y ce+c₂e-2 +₂e 4. ( The general solution of 2r³y"+ry'-y=0 is. B. y = ₁+ A. (5,15) 5. (2, 6. (2 7. (7 The general solution of y""+y"-4y'- 4y=0 is. B. y=ce2+₂+² (z-5)*. D. (-10,5) The minimum radius of convergence of power sreies solution about z = 1 of the ODE (22-25)y"+ 2xy' + y = 0.. A. 6 B. 5 8. ( C. I he open interval of convergence of B. (-5,15) A. irregular singular D. None of them C. (-10,10) D. C. y=c₁e+₂+gel C. 4 D. 0 For ODE (2-4)2y" +3(2-2)y' + 5y=0 the point r=-2 is. B. ordinary Use power series to solve the equation y" +9y=0 C. regular singular Use the method of variation of parameter to solve ry" - 2xy' +2y=3√√.
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