The functions y(t) = t² and y2(t) = t³ are solutions of the homogeneous differential equation t2y" – 4ty' +on (0, 0). To find a solution of the nonhomogeneous differential equation ty" – 4ty'+ 6y = 4t³ on (0, ∞0)the function u(t) of y, = u1(t)t² + u2(t)t³ ?Lütfen birini seçin:-4t-4-4t2

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The functions y1(t) = t² and y2(t) = t³ are solutions of the homogeneous differential equation ty" – 4ty' + on (0, o0). To find a solution of the nonhomogeneous differential equation t2y" – 4ty' + 6y = 4t³ on (0, 00) the function u(t) of yp = u1(t)t² + uz(t)t³? %3D %3D Lütfen birini seçin: O 4 -4t -4t2

The functions y1(t) = t² and y2(t) = t³ are solutions of the homogeneous differential equation ty" – 4ty' + on (0, o0). To find a solution of the nonhomogeneous differential equation t2y" – 4ty' + 6y = 4t³ on (0, 00) the function u(t) of yp = u1(t)t² + uz(t)t³? %3D %3D Lütfen birini seçin: O 4 -4t -4t2

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 functions y(t) = t² and y2(t) = t³ are solutions of the homogeneous differential equation t2y" – 4ty' +
on (0, 0). To find a solution of the nonhomogeneous differential equation ty" – 4ty'+ 6y = 4t³ on (0, ∞0)
the function u(t) of y, = u1(t)t² + u2(t)t³ ?
Lütfen birini seçin:
-4t
-4
-4t2

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