Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

Q: Determine the quadrants in which the solution of the differential equation dy/dx = (1/2)xy is an…

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Q: Find the differential equation corresponding to y=a cos (logx) +b sin(logx) or y=A sin (logx)…

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Q: 7. Find the dy/dx of * y = In sin 5x

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Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

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Q: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

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

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Q: 2. dy dx

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Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: find dy / dx by implicit differentiation.

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Q: y dx + (x'y+')dy -0

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Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: Find dy/dx of y=sin-(1/,). 9x-

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Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: √2xy dy/dx =1, given y=1 when x=1

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Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION хdy — ydx 4. | = x³ dx y2

A: Given that: xdy-ydxy2=x3dx

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

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Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

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Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: Explain why the initial Value problem dy/dx=x-cos(y); y(1)=pi has a unique solution. For that…

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Q: S sin* 2x dx 4

A: The complex form of integral can be converted to simple integral…

Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: Find dy/dx by implicit differentiation. 2x? - 5y2 = dy/dx

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Q: dy = ky| 1- dx L)

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Q: Find the equivalent differential equation for all tangent lines of the parabola y = x^2

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Q: 4. sinh(z²) dz dy dx

A: We need to solve the triple integration by re arranging the order.

Q: Find dy/dx by implicit differentiation 4 cos (7r) sin (6y ) 5

A: We have been given an implicit function and we are supposed to find dy/dx.

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

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Q: - Find dy/dx for y = log2(1 – sin³ (3x²) %3D

A: Use the chain rule to differentiate the given function.

Q: Find (dy/dx) if y²-x?- sinxy =0

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Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

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Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: Solve the differential equation dy tan y x Cos x 3 dx

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Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

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Q: (2x + 1) 2 dy dx |- 2x

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Q: Find dy/dx by implicit differentiation. 11 11 dy/dx = (Express your answer using positive exponents…

A: The given function is 11x3+11y3=7

Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: Determine the quadrants in which the solution of the differential equation dy/dx = (1/2)x2y is an…

A: Here given differential equation as dydx=12x2yordyy=x2dx2

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: