7. Jlgul * The first three non zero terms in a power series expansion of the solution for IVP y" -xy' -y = 0 with y(0) = 0, y' (0) = 1 are given by : %3D %3D O 1+x² + x 3. O x + 8 3! 8 .5 O 1+x+ ÷x³ 4.

7. Jlgul * The first three non zero terms in a power series expansion of the solution for IVP y" -xy' -y = 0 with y(0) = 0, y' (0) = 1 are given by : %3D %3D O 1+x² + x 3. O x + 8 3! 8 .5 O 1+x+ ÷x³ 4.

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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Concept explainers

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

* السؤال .7
The first three non
zero terms
in a power series expansion of
the solution for IVP
y" - xy' -y = 0
with y(0) = 0, y' (0) = 1
are given by :
O 1+ x² +
8.
4!
3.
8
O x + x +
Ox-
2 3
.5
O 1+x + x3
.4
4!
19
O O

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