Which of the following is the general solution of the equation systemdxdtdy2y – xdtx(t) = C, +c,tey)=c, +c(t 1)e-tx(t) = (c, + c,t)e-ty(t) = c+c, (t- 1)e-tx(t) = (C,+c,(t– 1))ey©)= (G +czt)etx(t)= (C +Czt)ed)y(t) = (4 +c (t – 1))e*e) None of them Let us consider the differential equation4y" + 2y" = e(x + 4) + 4e - 5x + 9Which of the following is one of the parts of the solution that can be suggested forthe second sided (y,) of this differential equation?,= (ax? + bx +c)e*= (ax? + bx +c)e *x?-(Ax' + Bx + Cx + D)x²Y, = (Asinx + Bosx)eie),- (Ax + Bx + Cx + D)x

Since you have asked multiple question, we will solve the first question for you. If you want any…

Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C, +C,te t y(t)=c, +Cz(t– 1)e %3D x(t) = (c, +C,t)e-t b) %3D y(t) = C,+c,(t – 1)e-t x(t) = (c, +c,(t- 1))e c) y(t)= (G +czt)et %3D x(t) (C + Czt)e d) !! yC)= (G+c (t - 1))et e) None of them

Which of the following is the general solution of the equation system dx dt dy 2y x dt x(t) = C, +C,te t y(t)=c, +Cz(t– 1)e %3D x(t) = (c, +C,t)e-t b) %3D y(t) = C,+c,(t – 1)e-t x(t) = (c, +c,(t- 1))e c) y(t)= (G +czt)et %3D x(t) (C + Czt)e d) !! yC)= (G+c (t - 1))et e) None of them

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

Which of the following is the general solution of the equation system
dx
dt
dy
2y – x
dt
x(t) = C, +c,te
y)=c, +c(t 1)e-t
x(t) = (c, + c,t)e-t
y(t) = c+c, (t- 1)e-t
x(t) = (C,+c,(t– 1))e
y©)= (G +czt)et
x(t)= (C +Czt)e
d)
y(t) = (4 +c (t – 1))e*
e) None of them

Let us consider the differential equation
4y" + 2y" = e(x + 4) + 4e - 5x + 9
Which of the following is one of the parts of the solution that can be suggested for
the second sided (y,) of this differential equation?
,= (ax? + bx +c)e*
= (ax? + bx +c)e *x?
-(Ax' + Bx + Cx + D)x²
Y, = (Asinx + Bosx)ei
e)
,- (Ax + Bx + Cx + D)x

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