57. Find dy for y= sec 1(e-x). For y = sec 1(e -x), dy= (Type an exact answer, using radicals as needed.) dx. %3D

Q: 3. Exact DE (1+ y3 + xy?) dx + (x²y+ y+ 2xy) dy = 0

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Q: Using dy 3 =dx and dx = 0.03, what is dy whenx = 2? 2V3X – 2 dy i (Write as an exact decimal.)

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Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: dy dx ytsinx I+ CoS X

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Q: Solve ysinley) dx +r Sintzy) +y) dy =o

A: Solution of the exact differential equation.

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x…

A: Given:     y = cosh ( ln ex^3 )

Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

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Q: Q2/Find dx of y = sin(e') + xtan-1x. %3D

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Q: dy y3 , У (0) : 1 dx 1– 2xy2

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Q: when step Qal Evaluate the x²+2Xy + y? dy dx Size of x=0,2 and step size of y= 0.5

A: We have to solve ∫01∫02(x2+2xy+y2)dydx Given step size of x = 0.2 and step size of y = 0.5

Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: Find dz/dx if z is implicitly given by the equation ze-y = sin(ryz).

A: Given, zex-y=sinxyz It is simplified as follows: Differentiate both sides with respect to x and…

Q: Solve the following problems with complete solutions in a clean sheet of paper/bond paper. See…

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: dy 3. (a) If y=x'sinh (1/x)+ In(tanh 2x), find dx

A: Given function is y=x3sinh−11x+lntanh2x. We have to find the dydx. Used formula, ddxsinh−1x=1x2+1…

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

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Q: dy 3. (a) If y=x'sinh '(1/x)+ In(tanh 2x), find dx

A: Given: y=x3sinh-11x+lntanh2x

Q: find dy/dx for following equation,   6xy - ln(y) = 2x + ey

A: Given information: 6xy-lny=2x+ey

Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: cinxo ) 2X. dy dx Find for y= cos ( Inx + e

A: We have to find the derivative.

Q: QA1 (a) Given that y = (3+4x²)° +10sin(5x) determine dx dy

A: The solution is given below  Please post separately

Q: 3.) y tanʼxdx +ln* ydy = 0 dy_ (y?+4) Inx In (y?+4)Y 5) dx

A: y tan2x  dx + ln4y dy = 0∫-tan2x  dx =∫ ln4yy dy∫(1 - sec2x) dx  = ∫ t4 dt   (where, t = ln y)Hence,…

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: Find dy Ser ysX"+3*+ e° dx + sin (1nx)

A: Given that: y=xy+3x+ecos-1x+sinlnx

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx

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Q: (4-y)dx +dy =O what is the of differantial general soluttion equation ?

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Q: dy Find dx for y = 14x +5 coS x. d(14x+5 cos x)%3D

A: Formulas:1. ddxxn = nxn-12. ddxcosx = -sinx

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

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Q: y = tan(e*) + ey %3D

A: Given function is: y=tan ex+exy We have to find y'.

Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to…

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: d²y if y = 5x cos x. dx? Find dy dx? ||

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Q: Find the solution. dy - +y= dx 1 1+e* A y = ce*+e*In (1+e*) B y = ce¯ - e -*In(1-e*) (© y =…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Find the solution of dy X. +y.Inx y.lny dx Show all your calculations.

A: Given equation is as below :

Q: d y' of y= In(tanh2

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Q: (e^x+lny+(y/x))dx+(x/y+lnx+siny)dy=0 solve using exact equation (diff eq)

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Q: 6. (2xy + y) dx + (x? - x) dy = 0.

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Q: 7. x(3xy - 4y + 6) dx + (x-6x?y?-1) dy = 0.

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Q: Incot3x dx sinh e* 1+9x

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy = i (Write as an exact decimal.)

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Q: 5. e tan y dx + (1-e) sec? y dy = 0. %3D

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Q: If y = In(6 + x8), find the differential dy. Your answer will be in terms of x and dx. Enter dx as…

A: topic - differentials

Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

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Q: Can you help me step by step?

A: Differentiate the given function with respect to x,

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: I = Si S (x² + y³) dy dx.

A: