Use initial value Xo = [-2, 1, %3D -0.5] -2X1+ X2 + X3 = 4 Хз — 4 X1 – 2X2 – X3 = -4 X2 + 2X3 = 0

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: Find the general solution of y' = y secx

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Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains  5%…

A: To determine the amount of two vinegars.

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: Enter the coordinates of the solution of these two linear eq

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Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

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Q: Solve for x: x + 7 x – 5 x – 5 3 x + 7 m IN

A:

Q: Solve for y. x+4 = 5  2-y      3

A: given that x+42-y=53 solve for y

Q: -0.3x(49 — х?

A:

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

A:

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Differenitate: y = esin (z²+2z)

A:

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Solve for x. * (7x) (7x) I (4x) (4x)) F (7x) (7x)/ H. O x= 36 O x= 20 O x= 10 O x = 24

A: the sum of the interior angles of a hexagon is 720 degrees.

Q: Solve for x and y. X = y = 17 1 5x + 20 5 [723]-[2725231 2y 1

A:

Q: ー Hx %3D

A: 9x2 = 4x =&gt; 9x2 - 4x = 0 =&gt; x(9x - 4) = 0

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

A:

Q: Solve for X 4x+14 8-X-8 X L Last saved 7:11:57 PM LL MacBook Pro $ 4 V 2 3.

A: Using property of interior angle in a convex polygon,

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

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Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: Solve 1) y" + y' – 6y = x2 2) y" + y' – 6 = tx Where t: constant

A: (1).   The given differential equation is:  y''+y'-6y=x2 The characteristic equation of the…

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

A:

Q: Solve using simple-fixed point iteration until 15th iteration: 2x^4+13x^3+29x^2+27x+9=0

A: Given: Function  2x4+13x3+29x2+27x+9=0 The above equation can be rewritten as 27x=-2x4-13x3-29x2-9…

Q: y = sec* ( Vsin(2t)) sec³ 3.

A: The objective is to find the derivative.

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: tion: y" – 3y' = e3 – 18x. - -

A:

Q: Solve the initial value

A: Given, 2(y-1)dy=(4x2+5x-1)dx, y(0)=2

Q: Use Integration by parts to solve: Sxe cosxdx

A:

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: S sec 2ydy

A: Topic:- integration

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: (1 - V2) dt 44. 46. (2z – 3) dz - 3

A:

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

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Q: Find f(-5e3* + VE)dt

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Q: Sa 3dx 1. (x+6)Vx+4 2. V-1+2 dt

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Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

A:

Q: Y"+y'=secxtanx by using variable cofficients

A: It is a second order differential equation with variable coefficient:  y''+y=secxtanx we can solve…

Q: Max Z = 3x1 + 182x2 %3D Subject to 9x +5x를 S 72

A: In this question, we use the KKT condition to solve the NLP. MaxZ=3x1+182x2subject…

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

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.