ズ-( ) * -2 3 %3D 0 -2 21 6te ( *¯) a) Verify that X (t) = ( 5 and X2(t) = ( 2e 21 are solutions to the given system.

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

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Q: (5 + y)(4 + y) = (6x + 2y – 4) + (2x + 2y + 10) = (x – 3)(x + 3) =

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Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: Let fi (2) = - 5x – 5, f2(x) = – 6x² – 8x – 3, f3(x) = 2a² + 10x + 3, and fa(x) = 2x – 9. Find a…

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Q: y(4) + 18y" + 81y = 0

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Q: 2. Find the roots of 3x -9x + 2 = 0. Solution: 3x2- 9x = 3(x2-3x + 19 3(x-, 4. X1 =- and X2 = 2. 3I2

A: To find: the roots of the given equation

Q: If f(x) = x² – 2x & g(x) = 3 – x then solve the equation a) (fog)® = 0 b) (gof)) + x² + 5 = 0 &

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Q: If x = 9 is solution of An (x²+15a?) – An (a – 2) =ìn 8ax then а-2 (A) a = (В) а %3D 3 а - (C) x =…

A: Let's find.

Q: y3 (x+c)e* is a solution of y-y3e"* A True B False

A: To show y=(x+c)e-x                     (1) is a a solution of y'-y=e-x                      (2) Then…

Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

A: Given that, x2=17x+y, y2=x+17y, x≠y Find the value of x2+y2+1. As we know the formula: a2-b2=a-ba+b

Q: Solve the following linear differential equation system, i.e., find y₂(t). dyn (1) dt dyż (t) dt =…

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Q: a. Calculate the discriminant.b. Determine whether there are 0, 1 or 2 real solutions tof (x) = 0

A: We know that, for a standard equation of quadratic is given as  ax2+bx+c=0          ⋯⋯1 The…

Q: [ -1 + dt X2 with x1(0) = 1 and x2(0) = –1.

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Q: Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

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Q: If the general solution of (2+²-3y2) y'= 2xyżsy"In|y"+xª = Cy", what is the value of b? (A) 3 B 2 -1…

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Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: y(x)=(x+1)2(x+2)3(x+3)4,x>−1.

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Q: (b) x2n - 2y5n x5n + 4y=n 1/3

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Q: If f (x) = 5x2 2a + 7 and g (a) = -2x2 + 6x + 3, then f (x) - g (x) = %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Is  (6, 2)(6, 2) a solution of  x−5y=−3x−5y=−3?

A: Consider the given equation for x and y:

Q: (3) J -x² + 4x 2 x³ + 4x² + 4x + 3 dx

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Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: u(x)=2-2x + 5x * +7x³ + (x-1)u(t)dt

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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: Y1 le-v2(A2(a2-i))-A1(a1-1) dy2 Y1 e-v2(A2(a2-i))-A1(a1-i) (A2(a2-i))-A1(a1-i)|

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Q: Do two steps of the Newton's iteration for solving the system of nonlinear equations: 2ỉ + 2 = 1 I…

A: Use the following formulae, to find the approximate solution of the nonlinear system by the Newton's…

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

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

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Q: If E(X) = -2 and V(X) = 6 (i) E (5X – 2) = 5 E(X) – E(2) = (5 x (-2)) – 2 = -12 (ii) V (5X – 2) = 52…

A: As we know that Var(X)= E(X^2)-[E(X)]^2 This implies E(X^2)= Var(X)+[E(X)]^2

Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: 1 =(0) = - 2, y(0) = 40 %3D -125 14 - æ(t) = %3D y(t) = %3D

A: