Find the general solution of the given system. dx/dt= -9x+4y dy/dt= -5/2x+2y (x(t), y(t))=?

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Q: (a) Solve the given system of differential equations dy, - у, — Зу, -5 dt dy, 1 +3y, -5 dt subject…

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Q: Find the general solution of the system with the following equations. dr dy = -I+ 3y dt -2x + 4y and…

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Q: Find the general solution of the system of equations {dxdt= −7x − 8y {dy/dt= 10x + 11y. Use…

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Q: Find the general solution of the given system. dx -9 + 4y %3D dt dy - -X + 2)y dt (x(t), y(t) = %3D

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A: Given system is dxdt+dydt=2x+2y+1           (1)dxdt+2dydt=y+3                    (2) let the…

Q: -3 y{(x)+4y,(x)– y, (x)+ 2y,(x) + 6x – 3–4sin(x) = 0 2y{(x)– 3 y,(x)– y2(x)– 4x+2+3 sin(x) = 0

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Q: Solve the given system of differential equations dy, -D у, — Зу, - 5 dt dy, 1 y, +3y, - 5 dt subject…

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Q: Find the general solution of the given system: a) dy1 = y1 + 2y2 dt dy2 4у1 + Зу2 dt

A: The matrix equation is y1'y2'=1243y1y2. Obtain the eigenvalues: 1-λ243-λ=01-λ3-λ-8=0λ2-4λ-5=0λ=-1, 5…

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Q: Find the general solution of the given system. dx/dt=6x+y dy/dt=-2x+4y

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Q: Find the general solution of the given system. dx/dt=11x-y dy/dt=5x+7y

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Q: transform the equation into a systems of first-order equation: 2y(4) - et y' + 2ty = cos(t) y(0) =…

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Q: Find the general solution of the given system. dx =x +2y dt dy = 4x + 3y dt St -t+C2 2 a. e 1 b. St…

A: here we will find general solution of given system of equations,

Q: h(x) = cF' (x) – cGʻ(x). 3. By integrating the last equation for h(x), show that for any constant a…

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Q: Find the complete solution using classical method to the system (D2 +6 D+ 25) y(t) = (D+ 3) x(t) for…

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Q: Solve the system of linear differential equations. fv% = y, + 3y, V: = 4y, +5y; y,(0) = 2, y,(0) = 1

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Q: Find a general solution of the linear system below. x" - 9y' - 2x = 0, y"+x' - 2y = 0 ... Solve for…

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Q: Find the general solution of the given system. dx - 2x + 3y dt dy dt - 6x + 5y Ex(t), y(t)) 0

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Q: dx = 6x – y dt - Solve the system: dy = 5x + 2y dt

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Q: Find the general solution of the given system. dx = 4x + y dt dy = -2x + 2y dt (x(t), y(t)) =

A: Given system of equation, dxdt=4x+ydydt=-2x+2y Write the differential equation in the matrix form…

Q: Find the general solution of the given linear system dx -= -6x + 2y, dt dy dt = =-3x + 1y

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Q: Find the general solution to the system of equations 2t dx dy + dt dt = e²t d²x dx + + x + y = 0 dt²…

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Q: Find the solution to the linear system of differential equations: x'=-8x+6y y'=-9x+7y x(0)=3…

A: Consider the given system of equation, x'=-8x+6y y'=-9x+7y The system in matrix form can be written…

Q: Find the general solution of the given system. dx = 2x – 2y – 2z dt dy :-x + 2y dt dz -x + 2z dt

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Q: Find the general solution of the given system. dx Зх + 4y dt dy 8x + 7y dt (x(t), y(t)) =

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Q: - Ay A 3 1 -2 221 a-) Find a generol solution of the system ? 6-) Find a porticular solution of the…

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Q: Find the general solution of the given system. dx 4x + y dt dy = -2x + 2y dt 14t (x(t), y(t)) = |…

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Q: Find the general solution of the given system. dx = 4x + 5y dt dy = 10x + 9y dt

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Q: Solve the given system of DE's by systematic elimination. (2D^2-D-1)x-(2D+1)y=1 (D-1)x+Dy=1

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Q: Find the general solution of the given system. dx = -9x + 4y dt dy x + 2y 2 dt (x(t), Y(t)) = %3D II

A: Introduction: The system of first order differential equation is generalized as dxdt=fx,ydydt=gx,y…

Q: Find the general solution of the given system. dx = 9x - y dt %3D dy = 5x + 5y dt (x(t), y(t))

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Q: Find the general solution of the given system. dx dt  =  7x + 5y   dy dt  =  −2x + 9y

A: The given differential equation can be written as: dxdt=7x+5y⇒D−7x−5y=0​…

Q: Solve the given system of differential equations dy, dy - y, - 3y, - 5 dt dy, 1 Y, +3y, - 5 dt 4…

A: (a) dy1dt=y1-3y2-5    ....1dy2dt=-14y1+3y2-5    ....2 Divide 1 by 2 .…

Q: Find the general solution of the given system. dx -9x + 4y dt Ap dt x + 2y 2 (x(t), y(t))

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Q: x-y+z+u-v=-1 X+y-z-u=0 x+y-u+2v =2 Which of the following is correct for the solution of above line…

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Q: a) Determine the relationship among the constants p, q and r under which the following system in…

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Q: Find the solution to the system that satisfies the given initial conditions. 0 2 x'(t) = x(t) + -13…

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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.