The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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

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Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

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Q: 1 (g) √ F+x(a+b)+abdx

A: To evaluate the following integral.

Q: 2z + 5z + 14 If U(z) = evaluate u %3D Uz and (z – 1)

A: Solution :

Q: = = xo 8, yo -1 y zo = 6 Xn+1 = xn +2yn Yn+1 = 2xn + yn Zn+1 = yn+2Zn

A: The objective of the question is to find the values of Xn+1, Yn+1, and Zn+1 using the given…

Q: 0 Find m/RTS R 7x+1 19x + 11 T 6x - 4 S

A: Given query is to find indicated angle.

Q: 2.x= 28°

A: Given:Angle at one end of triangle =28°To find:x=??

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: 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: Maximize P = 5x − y subject to x − y ≤ −2, 3x + y ≤ 3, x, y ≥ 0 using the simplex method.

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Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: 3x Vx - 25

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Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: Given g(x) = 6x – 15x +4x +8x–4 and )= 3x² – 3x – 1, what is the quotient ? A 2x – 17x+10 A 2x-5 B.…

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Q: A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey…

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Q: Let f(2) = x² +1 and g(z) = z² - 1 Then (fo f)(z) -X (fo g)(x) (go )(x) : x*4-x^2+1 x*4+x^2-1 Note:…

A: Consider the following functions: fx=x2+1gx=x2-1 ffx=x2+12+1=x4+2x2+1+1=x4+2x2+2…

Q: Solve for y 512y12x+12 529y2x+2 V4y8x+4 Show all steps! 32y5x+5

A: The explanation of answer as follows

Q: f1 (x) = ex+a, f2 (x) = ex+b, f3 (x) = ex+c a,b,c are constants. Using Wronskian, determine if the…

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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: Find the state-space form of the following mathematical model x₁ +2(x₁ - x3)-2(x₂ − x₂ ) - ² (x₂-x₁)…

A: Given Information:The system of equation is given as:To find:The state-space form of the system as…

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: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

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Q: Find β such that the equation βx 2 + x + β = 0 has a repeated real solution.

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Q: Minimize g = 3x + y subject to 4x + y > 11 3x + 2y > 12

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Q: Find the maximum of f (x) = 4x – 1.8x² + 1.2x3 – 0.3x* using Quadratic interpolation (xo = 1.75, x,…

A: We can solve this using quadratic interpolation formula

Q: 4. Is (1,5) a solution of 3x-2y S-4

A: Let's find.

Q: x4 - 5x3 + x – 4 x2 - 7x + 1 uotient emainder

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Q: Findβsuchthattheequationβx2+x+β=0 has repeated real solution

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Q: The solution to the IVP, is x₁(t) x₂(t) x₁'= -3x1 - x2, x₂= 13x1 + 3x2, = = x₁(0) = 2 x2(0) = -8

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: find The Six Solutious of The eq- 6 Z+27+2

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Q: 2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, =…

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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.