Find the general solution of the given system of equations. -3 V 2 x + -2 x' = x(t) =

Q: 1. Linear Equation 3x1 t x² 2x1 + 4x² + x³ = 12

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Q: y - 4z = O X + y -4z = 0

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Q: 2 (x-1)y+2y=(メ+1) Find general Solution.

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Q: Find the value of which satisfies the pair of equations 2(x+2y)+ 3(3x-y)=38 a 4(3x+2y)-3(x+5y) = -8.

A: Given

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

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Q: The system that takes care of packaging the takeaway orders is in a bit of a mess after it detected…

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Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -32 +42e-2t NOTE: Write arbitrary constants as c₁,…

A: Linear differential equation  where  are functions of x or constants.Then Integrating factor (I.F.)=…

Q: Find the general solution of x²y" + 10xy + 8y = x² Use the variation of parameters.

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Q: 1x-1y-1z=3

A: We solve given system of equation by using Gaussian Elimination Method and find required solution…

Q: y" + 4y + 4y = e-2x x²

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Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: (x² +2y2- 11x- 3y + 31 = 0 x+y+4 3D0

A: Given equations: x2+2y2-11x-3y+31=0              (i) -x+y+4=0              (ii)

Q: Solve x = || సా W = 8 -x I y + y + + 2y 2 W 2z + W -2 + W 3z + 5w - = 3 2 2 = 3 = =

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Q: Solve the difference equation In+2 + In+1 – 2.x, = 0 subject to the initial conditions ro = 1 and r…

A: To find- Solve the difference equation xn+2 + xn+1 - 2xn = 0 subject to initial conditions x0 = 1…

Q: Study the scenario and complete the question(s) that follow: Separable Equations A chemical solution…

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Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -Y2+33e-2t

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Q: Find all solutions of the equation z² + 2z+ (1 - i) = 0.

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Q: Solve x = - " 3x x 3x y= 4y + 2z у + 2y || || || 4 2 2 11 с

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Q: (ху+ усotx)dy — у(хdу+ ydx) 30

A: Given the differential equation             (xy+ycotx)dy-y(xdy+ydx)=0

Q: Verity thaf y = 4+ C2x + C3xlnx + 4x is a solution of x'y" + 2x<y" - xy'+y = 12x

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Q: Solve y+y = 1, y (0) = 4 Oy² = 1 +7e-² Oy = 1+7e-² Oy² = 1 +7e-² Oy = 1+5e-² Oy = 1+7e²

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Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

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Q: Consider the following pair of simultaneous equations: 6x + 4y − 14 = 0 5x − 3y − 37 = 0 (a) Show…

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Q: Obtain the general equation for Linear equations with constant coefficients

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Q: Solve x = I y = 2 = W= x -x y + Y + 2z + 2y א -2 3z 1+ ++ = 4 W = 1 W = 4 1 W 5w =

A: solve the system of equationx-y+z-w=4y+2z+w=1-z+w=4-x+2y-3z+5w=1

Q: 4x + 11y = x = -3y + 1 -3 EQ.1 Solve Eq. 2 for x and type it in the empty box (left). EQ.2 4) SOLVE…

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Q: Solve the equation x H Y 2 = 8 + t 0 1 0 6x+6y1z = 0

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Q: Find the values of a, b, c, and d when f(x) = ax3 + bx2 + cx + d and the following conditions are…

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Q: 6. Find the positive number that when multiplied by 15 is equal to its square subtracted from 34.

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Q: Solve y + y + 2z + 3 w 1 -a + 2y 3z + 5w = 1 y = 2.

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Q: Solve X + Z + 2W Z= y – 2z - x + 2y - z 2x + y + 3z- || 2w = 6 -3 -2 0

A: We  can solve the given system of equation by using the elimination method.

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.