Use the method of variation of parameters to find the general solution of the following systems: 16. 3x1 – x2 – 5e2t x1 + x2 17. X1 – 6x2 4x1 + x2 - 2 cos 2t

Q: Find all solutions to (2cos x+ V3)(2sinx-1)=0

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Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

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Q: Solve the system. Give solution in real form. Provide both x1= and x2=

A: Here we have to solve the given system .

Q: y(4) + ay" + by" + cy +dy = 0, here a, b, c, d are constants. Functions e-³2, e³2 and cos(√2x) are…

A: Given ODE with constant coefficients  is following :whose auxiliary equation is of the form .Given…

Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: What is the general solution of (D® + 20Dª + 100D2) y = 0 Oy = C + C2x + (C3 + Csa) cos 10r + (C4 +…

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Q: Solve for the particular solution using method of undetermined coefficient: (D² + 2D + 4) = 8 O Yp =…

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Q: For this system of two equations y = cos² (x), x² + y² = x² = 2₁ - a. Plot the two equations and…

A: As per the policy, we are allowed to solve only one question at a time. So, I am answering the first…

Q: For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the…

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Q: 3. Find the general solutions of, (xy + x* )dy + y°dx = 0 b.

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Q: Solve for the solution of: X= -2x-4y+2z y = -2x + y +2z Z = 4x + 2y +5z x(o) = a, y(0) = b, z (o) =…

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Q: Determine which of the following equations have integer solutions (x, y) = Z²: 1. 465x +4920y 1 2.…

A: Introduction: The linear Diophantine equation of the form ax+by=c has integer solution if and only…

Q: canonical form

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Q: Solve the following system of equations by Newton-Raphson method y-sin(x+y)=0 x-cos(y-x)=0

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Q: What is the specific value of x and y in the diophantine equation 17x + 23y = 157?

A: In this question we have to find value of x and y in Diophantine equation,

Q: ) In this problem you will solve the nonhomogeneous system Y = A. Write a fundamental matrix for the…

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Q: cos(2x + 3y + 4z)dzdydx = The first question: If find after solution Integration The value of the…

A: This is a triple integration problem

Q: etermine whether y₁(t) = = e e-t cos(2t) - sin(2t) cos(2t) + sin(2t) y': is a solution for the…

A: The problem belongs to the system of homogeneous linear differential equations (ODE). Ordinary…

Q: Suppose x = 3u - 1v - 1w and also x = 2u - 5v + 2w. Find a nontrivial solution: 0 0 0 v+C V+ u+ W

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Q: The equation (3xcos (3x) + sin(3x) – 3) dx + (2y + 5) dy = 0 is exact. Solve it. xsin (3x) + y + 5y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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…

Q: The values of m for which y = x" is a solution of x² y" – 7xy' + 12y = 0 are (Select the correct…

A: As the given value of Y is the solution of the equation that's why the value of Y should satisfy the…

Q: Which of the following equations can be rearranged into separable equations? Select one: а. (х + у)у…

A: (a) (x+y)y'=x-ydydx=x-yx+y Now it is difficult to separate.   (b) y'=x+y2x2+y+1dydx=x+y2x2+y+1Not…

Q: 1 1 1 X' = 0 3 X + -1 5, 21

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Q: -solve the following system by using the method of undetermined coefficients. dx1/dt= 2x1-5x2-cost…

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