1. dly dx 2. dy %3D 2X Secy J-(1-xx) oly dx=2y dy dx , Y(1)=0 (Intial Gonditin)

Q: Find dy by implicit diffe dx rentiation

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Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: integral (In x) 3  dx

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Q: If y = (2x)sin (4z) , then dy sin(4æ) · (2sin(4z) esin(4z) In(x)) %3D dx X synta

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Q: Compute the differential dy for y = -6x° + 8x5. dy =

A: topic - differential equations

Q: Show that ∫0∞ e-x 2 dx = ∫10√(-ln y)  dy  by interpreting theintegrals as areas.

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Q: Solve for dy given xsin y - ycos x = 2 | dx sin y-ysin x А. cOS X-XCOs y sin y+ysin x В. coS X-XCOs…

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Q: Compute dy/dx for the function. y = sinh 2 8x O 2 sinh 8x cosh 8x O 2 cosh 8x 16 sinh 8x cosh 8x 16…

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Q: 3. find dy/dx of y= sinh 2x

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Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

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Q: Compute the differential dy for y = (2x + sin x)². dy =

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Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: 3 хy dx dy 1

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Q: Integrate SxIn x)dy

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Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

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Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

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Q: gin (t) et dt

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Q: Find dy/dx for x⁴+siny=x³y²

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Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

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Q: Integrate  dy/dx sinx=1

A: We know, ddxcosec x = -cosec x·cot x ddxcot x=-cosec2x ddx(cosec x-cot x)=-cosec x·cot x + cosec2x…

Q: ) Find: dx/dt  at  x=−4  if  y=−3x^2−2  and dy/dt=1. dx/dt=

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Q: dx of xcosy+ycosx=xy

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Q: Differentiate. y =x° In x- dy II

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Q: Compute the differential dy  for  y=(6x+sinx)^3

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Q: find the dy/dx by implicit differentiation. 4. 5x-x^2y^3=2y 5. y^2+2xy^2-3x+1=0 6. xy+2y=x^2

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Q: 1 point) Find dy/dx by implicit differentiation. 2cos(x)sin(2y)=−4 dy/dx=dy/dx

A: It is implicit differentiation.

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: Compute the differential dy for y = 7x° – 4x2. dy =||

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Q: Find dy/dt at x = 1 and y = x^2 + 3 if dx/dt =

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Q: Estimate the value of integral 3 to 1 dx/x

A: Given,  ∫131xdx

Q: Ans: y-x+ In y+3, dy = 7. ху+3x-у-3 dx ху-2x+4y-8

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Q: dy tanx for y = dx 1-secx 1) dy (1-secx)sec x+secxtan2x dx (1-secx) 2) dy (1-s8cx)secx-secxtan²x I3I

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Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: Find dy/dx of x siny + y = 4x + 3

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Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: What is the double integral of 15x^2 dx dy with 0<=y<=30.81 and (y/6)-2<=x<=y^(1/3)?

A: Given, ∫030.81∫y13y6-215x2 dxdy

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

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Q: dy Obtain general solution of- 3/xy dx

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Q: Find dy dy dt at x = z - 1 if y = -5x² + 3 and dx dt 5.

A: topic:- derivatives

Q: Compute both dy/dx and d^2y/dx^2 if x^3 + y^3 = x.

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Q: dy Differentiate implicitly to find dx exy 2x+9y+3

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Q: Evaluate the integrals

A: Given integral is:

Q: integral In x 2 dx

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Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: Find dy/dx at (-4,1) if xy=(8y/(x+2)). dy/dx at (-4,1) =?

A: Derivative of any function determines the rate of change of a function. It is represented as dydx if…

Q: Find explict solution of the foilowing initial-value problem dy yoanx?, yla)of %3D dx

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Q: 4) dy dy dz 5) dy dy

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