Consider the system of differential equations x'(t) + 2y(t)= - 4tif x(0) = -4 and y(0) = -5 then the Laplace transform t x)(s) of x0 equals toy(t) +2y(t) + 4x(t)= - 4t- 225-1(s+ 4)(2 - s)2s-1(s+ 4)(s– 2)4s-2(s+4)(2 - s)4s-2(s+4)(s- 2)O None of these.

Here we use properties of Laplace transform to find differential equation. The answer is given as…

Consider the system of differential equations x'(t) +2y(t)= - 4t f x(0) = - 4 and y(0) - - 5 then the Laplace transform {x)(s) of xo equals to ly(()+2y(t)+ 4x(t) = – 4t – 2 2s-1 (s+4)(2- s) 2s-1 (s+4)(s-2) 4s -2 (s+4)(2 – s) 4s-2 (s+4)(s-2) O None of these.

Consider the system of differential equations x'(t) +2y(t)= - 4t f x(0) = - 4 and y(0) - - 5 then the Laplace transform {x)(s) of xo equals to ly(()+2y(t)+ 4x(t) = – 4t – 2 2s-1 (s+4)(2- s) 2s-1 (s+4)(s-2) 4s -2 (s+4)(2 – s) 4s-2 (s+4)(s-2) O None of these.

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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Question

Consider the system of differential equations x'(t) + 2y(t)= - 4t
if x(0) = -4 and y(0) = -5 then the Laplace transform t x)(s) of x0 equals to
y(t) +2y(t) + 4x(t)= - 4t- 2
25-1
(s+ 4)(2 - s)
2s-1
(s+ 4)(s– 2)
4s-2
(s+4)(2 - s)
4s-2
(s+4)(s- 2)
O None of these.

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