The general solution of the equation: t'y" + 2ty' = 0 is y = c1+c2/t. You use the variation ofparameters method to look for a solution of t'y" +2ty' = sin(t) in the form yThen u1 and u2 should satisfy the system:= u1 (t)+u2(t)/t.(a) u1 + u2/t = 0, u – uz/t? = sin(t)(b) u + u/t = sin(t), u – us/t? = 0|(c) u + u/t = 0, uz = – sin(t)(d) u + u½/t = 0, u' = -t² sin(t)b)a)c)

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The general solution of the equation: t?y" + 2ty' = 0 is y = c1+ c2/t. You use the variation of parameters method to look for a solution of ty"+2ty' = sin(t) in the form y = u1 (t)+u2(t)/t. Then u1 and u2 should satisfy the system: (a) u1 + u2/t = 0, u – uz/t² = sin(t) (b) u + uz/t = sin(t), u – uz/t² = 0 (c) u + u2/t = 0, u2 = – sin(t) (d) u + u/t = 0, u = -t sin(t)

The general solution of the equation: t?y" + 2ty' = 0 is y = c1+ c2/t. You use the variation of parameters method to look for a solution of ty"+2ty' = sin(t) in the form y = u1 (t)+u2(t)/t. Then u1 and u2 should satisfy the system: (a) u1 + u2/t = 0, u – uz/t² = sin(t) (b) u + uz/t = sin(t), u – uz/t² = 0 (c) u + u2/t = 0, u2 = – sin(t) (d) u + u/t = 0, u = -t sin(t)

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

The general solution of the equation: t'y" + 2ty' = 0 is y = c1+c2/t. You use the variation of
parameters method to look for a solution of t'y" +2ty' = sin(t) in the form y
Then u1 and u2 should satisfy the system:
= u1 (t)+u2(t)/t.
(a) u1 + u2/t = 0, u – uz/t? = sin(t)
(b) u + u/t = sin(t), u – us/t? = 0
|
(c) u + u/t = 0, uz = – sin(t)
(d) u + u½/t = 0, u' = -t² sin(t)
b)
a)
c)

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