1. dx + 2y = e^* dx 2. dx dy + 4 + 4y = 5ex dx d'y 3. dx + 4 dx + 3y = cos 3x

Q: dy/dx if y=tan((1-2x)/(1+x)) dy/dx if y=x^4 ln(3x-1)

A: 1)    y=tan1-2x1+x2)    y=x4ln(3x-1) Hint:  Chain rule and then uv and u/v rule of differentiation

Q: du/dt = (1/ln(t+u))  -1

A:

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: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

Q: (2y-1 + cos 3z) 분. 4x3 + 3y sin 3x = 0 (1)

A: We know that if - M(dy/dx)+N=0 Then M(dy/dx)= -N Therefore- dy/dx= -(N/M)

Q: Ssin(2x)dx = cos(2x) + C cos(2x) 2cos(2x) cos(2x) + C O 2 cos(2x)+ C -

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

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Q: Find the differential equation characterizing the family of curves described tangents to ky = x^2

A: We need to find the differential equation characterizing the family of curves described tangents to…

Q: 2. dy dx

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Q: 5- = cos nx dx= [cos nx cos nx dx 0.

A: We have to solve given problem:

Q: Find dy/dx if y=(4/cosx)+(1/tanx)

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Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: Sinh) esechct) dy

A:

Q: x3sec2y dy/dx+3x2tan y=cos

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Q: Bind dy, 4. Ssinx.cosx sinx-coSX 1 +2.Ln X

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Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

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Q: ① Solveing dy - - x dx = 。 ㅎ

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Q: 1. cos(xy) + secy = 5 2. Arcsin(x/y) = 4x + 3y 3. 4ln(Arctan x) = 1- y 4. y = 5/(sin3x +cos3x) 5.…

A: we have to derivative two times

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

A:

Q: The integrating factor of the linear differential equation – (tanx)y = x is_ - O sinx O log(cosa)…

A: Given dydx-tanxy=x

Q: 2 sinh 3x cosh 2y dx + 3 cosh 3x sinh 2y dy = 0

A: We know sinh xcosh x = tanh x ∫tanh ax dx = 1alncosh ax + C    (where C is constant of integration)

Q: Integrate: x² cos(2x) dx

A:

Q: Evaluate the integrals

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: find dy/dx 4x -x 2x 23) y= Sin- +x².Sec 2-x + 2x.Sec) 2 (ans.: (2-2»N(2-x² - x* 4 4

A: To find the dy/dx means y' of the given function

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4

Q: = Solve: Cony siny dx + dy. cosr sinx

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Q: dx 2.

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Q: 23, zax + sec(x)cos(y) 0, y(0) = 0

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Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Find dy/dx by implicit differentiation. 5x3 + x2y − xy3 = 2

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Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

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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: ex dx

A:

Q: These equation classifies by dy 3 +5x y dx' tan x dx Ordinary Differential Equation O Partial…

A: By see tha solution of this question

Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx

A: 1.

Q: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

A:

Q: Find the differential equation of family of parabolas with axis parallel to the x-axis and with…

A: The general equation of family of parabolas with axis parallel to the x-axis, with a vertex at a…

Q: Evaluate the integrals

A: Given integral is:

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

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: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: Find dy/dx by implicit differentiation. 3x2 + 5xy - y2 = 4 dy/dx =

A: Given; 3x^2+5xy-y^2=4 dy/dx=?

Q: azu Ex: Solve the partial differential equation дудх sin³x cos²y given that du %3D siny when x=0 and…

A: First take x as a constant and integrate with respect to y and the other one

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.