x = u3 + 7 ; y= 6u? – 1 d²y ---> dx2

Q: Find dy/dx. 3x2 - y = 8x dy dx

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Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: 8-x²-y? 19. 'dz dx dy +y²

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Q: dy Q1: - find ay/dx for y = 5cscx3

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Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: Find dy/dx: 4x²-3 y = Vx2–1

A: The given function is, y=4x2-3x2-1 To find the expression for dydxwe need to use to division rule of…

Q: dy 3. + y = e3x dx

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Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: 6. x2 +7 y = 8. dy dx II

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Q: Sv-4 - y-3) dy

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Q: dy/dx=y2/3

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Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Calculate  d2y dx2 y =  −  5 x2  d2y dx2 =

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Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides…

Q: Evaluate the integrals

A: The given integral is ∫02∫03y∫x2+3y28-x2-y2dzdxdy.

Q: calculate d2y/dx2 when y=3/x

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Q: d²y ex 1. Find dx2 for y = %3D (2x²–3)

A: According to our terms and conditions I have solved first question for next question repost

Q: Find dy dx² for x =t2 + 1, y = t +t³. d²y dx² ||

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Q: 16- y? V16 - x2 x dx dy 2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dy Find- , if y = 2x+9 dx x2- 5x+1

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Q: Find dy/dx if y = u5 - 2u3 + 8 and u = x2 + 1.

A: Given function are: y=u5-2u3+8......(1) u=x2+1......(2) The objective is to find the value of dydx.

Q: 2e2x) when x=0 and y=3. dx Compute

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Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: Find d2y/dx2 implicitly in terms of x and y.

A: To findd2ydx2

Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: хе*+2 y = e2x+1

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Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

Q: dx 2x dy y 3.

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: y = ( 2x³ - 8x )* Find dy/dx when x = -%

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Q: calculate d2y/dx2 when y=0.4x-0.3

A: use this formula:

Q: y3 (3- e*)* dy dx

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Q: + 2y = 1- x>0 dx

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: dy/dx if y=3x3/2

A: consider y=3x32differentiate w.r.t.x,ddx(y)=ddx3x32           =3 ddxx32            =3×32x12…

Q: 12-y² y !! dz dx dy 2. 0 0

A: triple intregal

Q: Find 2," dy d²y dx ' dx? d3y and from: dx3 3. x = 1 – t? and y = 2t3 – t2 + 1

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Q: Find dy/dx2 implicitly in terms of x and y. x*y – 6x = 9

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Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: 12-y2 y dz dx dy .2. 0 0 0

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Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: calculate d2y/dx2 when y=e-(x-3)-x

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