Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. dx dy +x+ dt 5t %3D d?y 12x + Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. 5 O A. x(t) = C, e 3t + C2 ¢ , 5t 18 O B. x(t) = C, e -31 + C2 e 4t +: St 18 5 5t e 18 4t O C. x(t) = C, e " cos (3t) + C2 e ", sin (3t) +

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A: For given differential equation  A.E. is

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: Use the elimination method to find a general solution for the given linear system, where…

A: The given linear system of differential equation is, dxdt+x+dydt=e5t            ...... 112x+d2ydt2=0…

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Q: Use the elimination method to find a general solution for the given linear system, where…

A: ∵ We have given          (D+3)U - (D+3)V = et —1           D-1U + 4D+1V = 9 — 2By equation 1  (D+3)U…

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A: Given the linear system:          2x'+y'-x-3y=e-2t                ...... 1x'+y'+6x+2y=e3t…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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A: We will find out the required expression for the transfer function.

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.