In solving a differential equation byFrobenius method of series solution about* = 0, we obtain the following indicialequation and recurrence relation:r(2r- 1) = 0 and Cn+11Cn where5n +r+5n = 0,1,2,3,... Find the solution%3|corresponding to the larger root of theindicial equation. Include the first threenonzero terms, use Co = 1.2OA. = 1+.2x +...231B. Y = x1/2)1+4 „2x* +...212.24.3x +...Oc. =x-1/22311121+4x" +...2311/2OD. V = x-X+O E. V =x1/26.1 ,2 4,3* +...21

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In solving a differential equation by Frobenius method of series solution about x = 0, we obtain the following indicial equation and recurrence relation: 1 r(2r-1) = 0 and Cn+1 C, %3D 5n +r+5n where n = 0,1,2,3,... Find the solution corresponding to the larger root of the indicial equation. Include the first three nonzero terms, use Co = 1 2 4 .2 OA. Y = 1+ 11 -x +... 231 1 1 + 4 x*+.. B. Y =x1/2/ 21 2x2 4 + 231 .3 C.Y = x-1/2 x* +... 11 1 .1/2 1+ 4 .2 +.. OD.V = x 231 1 „2 4 3 OE.Y =x1/2/ X+x2 -x² +... 21 %3D

In solving a differential equation by Frobenius method of series solution about x = 0, we obtain the following indicial equation and recurrence relation: 1 r(2r-1) = 0 and Cn+1 C, %3D 5n +r+5n where n = 0,1,2,3,... Find the solution corresponding to the larger root of the indicial equation. Include the first three nonzero terms, use Co = 1 2 4 .2 OA. Y = 1+ 11 -x +... 231 1 1 + 4 x+.. B. Y =x1/2/ 21 2x2 4 + 231 .3 C.Y = x-1/2 x +... 11 1 .1/2 1+ 4 .2 +.. OD.V = x 231 1 „2 4 3 OE.Y =x1/2/ X+x2 -x² +... 21 %3D

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

100%

In solving a differential equation by
Frobenius method of series solution about
* = 0, we obtain the following indicial
equation and recurrence relation:
r(2r- 1) = 0 and Cn+1
1
Cn where
5n +r+5
n = 0,1,2,3,... Find the solution
%3|
corresponding to the larger root of the
indicial equation. Include the first three
nonzero terms, use Co = 1.
2
OA. = 1+
.2
x +...
231
B. Y = x
1/2)
1+
4 „2
x* +...
21
2
.2
4
.3
x +...
Oc. =x-1/2
231
11
2
1+
4
x" +...
231
1/2
OD. V = x
-X+
O E. V =x1/2
6.
1 ,2 4,3
* +...
21

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