please use laplace transform for the below linear system to solve system of equation. x(t)+6y'(t)=1 2x'(t)+3y(t)=0  with initial condition, x(0)=1 and y(0)=1

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A: Dear student we are write the ordinary differential equation so  we use the characteristic equation…

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A: We will find out the required solution.

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Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

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Q: x' = x+2y x(0)=1, y(0)=2 y' = 2x+ 4y

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Q: Find a particular solution of the linear system given. x'=3x-y y'=5x-3y where x(0) = 1, y(0) = -1

A: Given system of equation is., x' = 3x - yy' = 5x - 3y where x(0) = 1; y(0) = -1 First we find the…

Q: Let   dx/dt =   x2y3           dy/dt  = -x - y - (xy4)/2 be a dynamical system.   Is  L(x,y) =…

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Q: 8. Consider the given nonlinear system of differential equations: x' = 60x – 3x – 4xy, = 42y – 3y –…

A: Given that the nonlinear system of differential equations x'=60x -3x2-4xy, y1 = 42y - 3y2 -2xy has a…

Q: Find the most general real-valued solution to the linear system of differential equations ' [ 21(t)…

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