Ifh(4 – x) = x² + x + 1, what is the value of h (8)?

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: 5. Eliminate the arbitrary constant on the given equation: -4xy? + x°y2

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Q: Find the general solution valid near x=0 (x2 + 4) y" + 2xy' -12y = 0

A: We have to solve given problem:

Q: 1.What is the third derivative of y = 2x5 – 2x4 + 5x3 + 6? 2x – 2x + 5x? 40a O A. " = - O B. " 24x +…

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Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: Solve the initial value problem: f'(x) = x13 - 4x + 12x + 18 and f(0) = 2. %3D %3D

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Q: 9. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: d'x +x=f(t), if x =x' = 0 for t = 0. Solve d?

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Q: Determine L-1{F(s)} 2s+1 sF(s) + 3F(s) s2+2s+1

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Q: Calculate ∂ω/∂x for ω=e^−2x x(multiplied by) e^(z^2y)

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Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

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Q: of Chal) D x24 6x -2:0 ent

A: Solve x2+5x-2=0

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: -12 XY and y=-S whenxe4

A:

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: 5. f(x) = 2x - 6 x2 - 7x + 12 Holes: Vert. Asy: Hor. Asy:

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Q: d. yı = X1 X3 X1 + X2 Ya = - X1 – 3x2 – 2x3 e. yı = x1 + 2x2 + X3 Y2 = Y2 = x1 + x2 Ya = X2 + X3.

A: d)  The map from R3 to R2 is onto.  e)   The map from R3 to R3 is not onto.

Q: A) xy' 2y + x'e*

A: These are all unrelated & lengthy problems. By Bartleby policy I have to solve only first one.

Q: 1. 3(3x² + y²)dx – 2xydy = 0 -

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Q: 1. y" + 4y' + 4y e-2x x2

A: The given differential equation is: y''+4y'+4y=e-2xx2 Now the characteristic equation of the…

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: (e) Yk+1 +Yk = 1/k(k+1),

A: Given, yk+1+yk=1kk+1Substitute:yk+1=y'yk=yEquation formed is:y'+y=1kk+1A first order separable ODE…

Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: S (x+Sy+wz ) dzoly dz 2 3x X-つ

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Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

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Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: Evaluate (D^2 - 3D + 2)y = (1 + e^-x)^-1.

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Q: find the (a) domain and (b) range

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Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: Derivatives of the sum of functions Find the derivative of thefollowing functions

A: We have to find the derivatives of following functions: 19. fx=3x4+7x20. gx=6x5-x21. fx=10x4-32x+12…

Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

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Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

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Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: H.W. Xdx 1-- 1+3X2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 7. Solve: ydx = 2(x + y)dy

A: Answer

Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

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Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

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Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: Does y =e9-x2-2 exist?

A: Given an equation, y=e9-x2-2. To check whether the equation exists or not. The value of e is…

Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32

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.