Question 3 (Nonhomogeneous Systems). [184 x' 2 x+ Solve x(0) = x(t) = e3t - 2e2t – 11t - 5 x(t) = -2e3t +2e2t + 7t+5] - e3t +2e2t – 12t-6 x(t) =| 2e3t – 2e2t + 6t +5 e3t - 2e2t – 11t -6 x(t) =-23t +2e2t + 7t +5] - e3t + 2e2t – 12t- 7] [ 2e3t – 2e2t + 6t + 5 x(t) =| x(t) = 42 [5-t e2t x(t) = 2 +t

Q: 3 1 x + 2. Solve: x² - x – 2 x -2" x +1, and state any NPV's.

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Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: D. EXPONENTIAL SHIFTING THEOREM 1. (D³ + 4D² – 3D – 18)y = 24x³e-3x 2. (D² + 4D + 4)y 2a-x = 64x²e¬x

A: Note:- According to company policy we can attempt only one question so please upload the next…

Q: 5(2) = 1 If then 2-3z f(r +h) = 1 23-3r2+hz² –3hz 1 12+2xh-3x-3h+h? I+h 12-3x 1 12-37-3h+h²

A: We use (a+b)2 = a2+2ab+b2

Q: Solve Ux + X YUy +U=0

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Q: (ii) tank (In x) = x²-1 x² +1

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Q: (8-j8) x + (3-j2 ) y + (7 - j9 ) z = -9 + j7 ( -4 - j7 ) x + ( 1 - j1 ) y + ( -2 - j4) z = 9 - j6 (…

A: This is a problem of linear transformation.

Q: Question.. Solve: *"-x + 5y² = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x² (0) = y² (0) = 0 Let & […

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Q: a) f(x) is a quadratic function. The graph f(x) decreases on the interval (-∞, -2) and increases on…

A: There is given a arbitrary quadratic function f(x) which is decreasing on (-∞,-2) and increasing on…

Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

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Q: Q3- Solve the system of non-linear equations xy' +x = 12 x*y+4y = 1

A: The given problem is to find the solution for the given non linear equations. xy3+x=12 x2y+4y=1

Q: -3r-3y+:51, 13r-4y+7:57. 7-10y-822-8, -z-y+6:2

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Q: Solve the equation (x + 2y-4)dx - (2x + y - 5)dy = 0. (x + y - 1)² = c(x-y-3) (x-y-1)² = c(x + y -…

A: x+2y-4dx-2x+y-5dy=0

Q: Take the system Find a particular solution of the form *₁(t) = x₂ (t) = help (formulas) = v cos(4t)…

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Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

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Q: Let f(x) = x² - 3, g(x) = Vx+1, h(x) : x+2 3 j(x) = -3x-5 %3! Determine the followings: ) f(g(3)) b)…

A: Here we want to find the composition of the given function.

Q: Solve the system of linear equations with the given initial conditions. x' (t) = [1 2] x |x(t) with…

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Q: Prove that v5 is irrational.

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Q: what is the solution of the first order difference equation y(k+1)=y(k)+5

A: Given: yk+1=yk+5

Q: Write in factored form. Determine the x-intercepts. y = x². - 1

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Q: habt tisty Consider the system x₁ =−x₁₂ (1+x₂) x=-x2(1+x2) Study the stability of the system at the…

A: As per the question we are given a nonlinear dynamic system and we have to use the following…

Q: t0) = {Ax2 -1. [5x + 4, for x < 0, 4x2 - 1, for x20 10+

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  to graph the line…

Q: 1. Solve the system x' = 3x - 4y + 4t, y'= 4x - 7y + 7t + 1.

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Q: If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

A: Solution A sinusoidal wave can be represented as f(x)=Asin(2πfx+P)..........(1) Where A is amplitude…

Q: Determine at what point(s) the graphs of f(x) = /2r+6 and g(z) = vAz – 8 intersect. Let f(z) = (10r…

A: Let us consider, To find point of intersection, solve these two equations:

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

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Q: State the equation of f(x) if D = {x = R | x*} and the y-intercept is (0, 2). a) f(x)= x-1 3x - 2 O…

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Q: Let f(x) = x³ + 3x² - 24x + 1 and g(x) = x³ + 6x² − 36x + 1. Fo have critical points?

A: Given,            f(x)=x3+3x2-24x+1    and     g(x)=x3+6x2-36x+1

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.