SOLVE THE FOLLOWING d²x 2 + 3 dt dy dt SYSTEM OF DEAN VISAITO na siven Thum OMI + 2x-1=0 dxd²y + dtz Hent to Smulov 9n1 Jor dt 24-e = 0 OND

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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: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

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A: Basic integration formulas are used. I have stated the used formulas in the solution.

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A: dx/dt = x + y,dy/dt = x + 2y + 1

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Q: Solve the system Ÿ' = AŸ + Ġ for A

A: a0 A = 7-143 , B = 5505 , P = 122-1Then p-1 = 1-1 -4 -1-2-21               = 1-5 -1-2-21…

Q: dx -7- +dd 24-y=3t73t 6t-3e

A: The given first order linear system of equation can be written as: D+2x+D−1y=3t2−3e−t…

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Q: (D3 - 5D² + 8D-4)y=e2x, Find Y = Yc - Yp a. 2x cé + Cẻ +C xe O C. -2x O b. 2x 2x °°€₁p² + €₂²³ +…

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Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Q4: Solve the system of ODE's: (2D+3)x+ (D+4)y = -Cost (D+1)x+ (D + 2)y= 2 Sint where D=d/dt

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Q: Solve the system of equations 3 dx 2 dy -x+y=t-1 +2 dt dt dx dy dt dt + -x=t+2

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Q: Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

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Q: Į va | Vi(t? + 6t +7) dt. 4. Find

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A: The method of solving a nonhomogeneous linear system of differential equations is the following.

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Q: Find general solutions of the systems in Problem Attached.

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Q: system

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Q: [o1] Write the following system X' = X - 2 3 X (0): %3D as a second order D.E , then solve it .

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

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A: Given,System of linear equations-3x1 - x2 = 2x1 + 4x2 = 5x° = (0,0) is the initial approximation.We…

Q: The equation, d(t) = 255t + 5654 represents the tuition, d dollars, at a college for the year Find…

A: I have explained everything with in the solution .please go through that.