I3D Find y in terms of x. dy passing through (2,5). dx Vx² - 8x + 16

Q: 2t2 3t and X = 1-t d²y| Let y . Find dy and 1-t dx dx2 It%3D4

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Q: qulst 7 =X g=t-cost Find dy and dx²

A: It is given that x=t+sint and y=t-cost.

Q: y becomes 4. Show that dx y"-2 xy'+A y=D0

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Q: Find dy. Simplify your answer -x+2y byこメやンInx By=x @ Show that d (csex)= dx 1- .... .... XVx

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Q: +y = e* + cosh 2x+x +y%3D

A: Solution:-As per guidelines I submit first question only

Q: dy_ 1-y dx V1-x? V1-x' +/1-y? = a(x - y), then show that %3D

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Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

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Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

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Q: dy Exc: " of y = csch(Vx³ – x²)6 %3D - dx

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: 7x + 6 Find dy for y = dy =

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Q: dy at t = -1. dx 2t -8 and y = 31+12, then find %3D

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: dy If x = 3t2, y = t³ then %3D dx II

A: Here we find out the dy/dx

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

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Q: dy dx2 in terms of x and y. Find x2y2 - 4x = 3 dy dx2

A: Given equation :

Q: Find dx for y = xSinx – 3Cosx. %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find d^2y/dx^2 x=5(t+sint), y=5(t-cost)

A: To determine the derivative of the parametric equation.

Q: Q7 Find dy using substitution: dx y = csc-(x3 + 1)

A: Put u=x3+1. Then, du=3x2dx Therefore, the expression y=cosec-1(x3+1) becomes,…

Q: (y + 5 y³) dx

A: To differentiate(1y2-3y4)(y+5y3)

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 323 2

A: Here to find the value of line integral we consider two path c1 :from the point (0, 0) to (0, -7)…

Q: 8. y dx = (3x + y³ – y²) dy; when x=1, y=-1. %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: ey - x+y = 10

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Q: 2t² Let y = 1-t 3t dy d²y . Find dx and and X = 1-t dx? It%=D4

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Q: (2x y) dx = -x dy

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Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: find in terms of x and y. dx 18) x =-4y+2y

A: x2 = -4y +2y3 To find dy/dx in terms of x and y

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: dy Calculate Y. You need not expand your answer. dx Vx - 3 y = Vx + 3

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Q: Find y dx2 in terms of x and y. y7 = x° dy dx?

A: Remark: we know that  d/dx (xn ) = n xn-1 , where n is any integer except -1.

Q: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: d²y 35. Find dx2 of x² + y2 = 1 implicitly. %3D

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Q: Value pro anıp dy - 1 3 -8x-2 , y(8) =- 3x* dx

A: Given that: dydx=13x43-8x-2,   y(8)=32

Q: ution to dx = 1+t-x- dt 2 +C +C) /2-C

A: We have to choose the correct answer from the given options according to the given information

Q: dy b. dx 2x - 1 + 2xy – y with y(0) = 2 %3D %3D

A: Given Differential equation is  dydx=2x-1+2xy-y Solve using separation method…

Q: dy y3Dx dx Inx Find

A: y=xlnxTo find dydx

Q: Evalucte (x²_ 2x+ dx atb+C Soln:

A: given,       ∫x3-2x+1xdx

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: dy in terms of x and y. x'+ y° = 2xy Find dx

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Q: dy is Blank 1 dx Given y-xy2-x²y=2. Then, at the point (1,2), Blank 1 Add your answer

A: Determine the differentiation of the given equation.…

Q: dy * - x Iny; yc1)= |

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Q: Find dy dx2 given y2- x2 = 4. Simplify your answer. %3D

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4 x dx Y 3- SSin X

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Q: d²y Find dy 34 y3 %3D こX+

A: Answer

Q: Find the GS of: (x- 2y) dx +2 (y-x) dy = 0, %3D

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Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…