x=t (t²-3); y= 3(t2-3)

Q: 1- y = -y² 2yt+1 2rv y(1) = -2

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Q: 2.x' + y' + x + y = t² + 4t x' + y' + 2x + 2y = 2t² – 2t

A: Given system is first order non homogeneous system of differential equations. Each x(t) and y(t) has…

Q: d²y dx2 -y = 10sin²x

A:

Q: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: a. y = x* – 3x² + 2 at a point (1,0)

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

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: f(t)=t²(3-2t)³ at t=1

A: Given function: ft=t23-2t3 Find the value of given function at t=1

Q: - 2y + 2(t-1) − y + (t – 1)

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Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: Find dy. y = 8x° - 7x - 3 5 dy =

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Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

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Q: z = 9 – x² for x 2 0 on the x axis

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Q: y"'-3y"+2y'=t+et

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Q: (a) y = x³ + 4x 15 at x = 0, h = 0.25

A: Note: Here we are solving problem (a) For reaming problem please submit it again. Given: y=x3+4x-15,…

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: Find d2y/dx2.  y = 2/(2 + x2)

A: Given: y=22+x2

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

A:

Q: d²y/dx² of the function y=(5x² – 3)(7x³ + x)

A: The given function is: y=(5x2-3)(7x3+x)=5x2(7x3+x)-3(7x3+x)=35x5-16x3-3x To use the product rule for…

Q: y = (t² – 2)². a²y 2. dx²

A: y=t2-22 and x=t2 Now, differentiate the given function with respect to t.…

Q: * (D-2y'y(x) -0 d Ja -1

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Q: y=F(x) -8-

A: We have to find limit of function F(x) with the help of graph:

Q: Find Y in terms of x and y. d2y

A: Given an equation in terms of y and x as shown belowWe need to differentiate it with respect to x…

Q: Differentiate.  y =t / (t- 1) 2

A: To differentiate the function y=tt-12. Quotient rule of differentiation states that:…

Q: z = = 9x°y° dz = %3D

A: Given that z=9x8y6To find :  dz Solution…

Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: y' +2y = -x8y5 will be transformed to the follo"

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation…

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

A:

Q: y" — y' — 6y = t²e³t — 4t², y(0) = 0, y' (0) = -1

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Q: 3t X : || 1+t³ 3t 2 y 1+t3 t + -1

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Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: What is y′(x) when y(x)=(2x)^8?

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Q: y" (t) – y' (t) - 2y (t) = 12t - 6e2t; y (0) = 1; y' (0) = 0 |

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Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

A:

Q: S- 2dx X(3(Inx)*+121nx-15)2

A: Use the substitution and make the given integration in standard form than solve .

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

Q: X+4y-z=-5

A: As per our guidelines only first question is solved.

Q: Solve for the derivatives. For 16-20. y = -7x5 + 3x3 – 2x а. 35x4 — 9х2 + 2 b. 35х* + 9х3 + 2 с.…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: t²y" + 3ty' + y = 0, t> 0; y₁(t) = t-¹

A: t2y''+3ty'+y=0, t>0; y1(t)=t-1 lets use method of reduction of order to find the second solution.…

Q: where does the of inffection point y=x%3x°+2x-3? Occur

A: