(2xy² – y)dx + xdy = 0 a. dy 2xy² b. . dx 2x2у + 1 c. (x – 1)²ydx + x²(y + 1)dy = 0

Q: d/dx (dy/dx)` x=1, , where y = x3 + 2x - 11

A: To find: The value of ddxdydx at x=1. Given: The function is y=x3+2x-11. Formula used: Power rule of…

Q: (y? + 7xy + 16x²)dx + x?dy = 0 when x = 1, y = 1 .2 Е 1, у %3D 1

A: the given differential equation is: y2+7xy+16x2dx+x2dy=0 and the given condition is when x=1, y=1.

Q: 2 Find dy/ dx: (a) 4y² – 5xy + 4x =10 5х-10 (b) y = 2 x* + 5

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Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

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Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: y (x² + y²) dx + x (3x? – 5y²) dy = 0l -

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Q: d3y/dx3 -dy/dx=5sinx+10cosx+120e3x Diferansiyel denklemini çözünüz

A: Find complementary function and particular solution for the given differential equation

Q: y-dx + (x2 + 3xy+ 4y²) dy = 0, when x = 2, y=1

A: Explanation of the answer is as follows

Q: d²y ex 1. Find dx2 for y = %3D (2x²–3)

A: According to our terms and conditions I have solved first question for next question repost

Q: Q2 Find (d y/d x)& (dy/dx²) y ex cosxy = y

A: a…

Q: : x d²y dy dx² dx + +my = 0, given that

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: Q4 Find dy for all of : dx 2- y = 3 x(x-2) x2 +1 1- y = xvInx

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Q: Find the general solution of y°dx+(3xy + y² =1)dy = 0 %3D

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Q: |(3x + y') dx+ (2xy) dy C:ジャジ x² y² 3D1 16 from (3,0) to (0,4) 9.

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Q: x(3xy – 4y + 6)dx + (x – 6x yt – 1)dy = 0, when x = 2, y = 0

A: The given differential equation is x3xy-4y3+6dx+x3-6x2y2-1dy=0Or3x2y-4xy3+6xdx+x3-6x2y2-1dy=0 It is…

Q: ) (2xy+y2) dx - 2x2 dy = o 2) xy dx-(x + zy)? dy = o メ+ 2y)? dy

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Q: »4-x² 1-y- xe?y dy dx 4 - y (b) Ln(a² + y? + 1) d dy (a) 0, /1-y²

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Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: 1. y (4x + y) dx -2(x²-y)dy = 0 2. (2xy4e + 2xy³ + y)dx + (x²y4ey - x²y²-3x)dy = 0

A: We have to find Solution for given D. E

Q: C. dy b. 4 sin 2x> , y = 2, when x = 2 %3D dx dy С. dx = x + 3+ e2x>, y = -1, when x =

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Q: y(x - 6y)dx - x(2x - 9y)dy = 0; when x=1, y=1 a. y?(2y-3x) = 3x2 O b. y?(2y+3x) = x² c. y2(3y-x) =…

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Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given that, 17)  5xe9y=12; 1,018) x2+3y2=13; 1,2 Find the derivative. Here we use the…

Q: dy dx -8x+ 4z(ay- (3x+4ズー1) given ニ Soletion y=X

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Q: x (xyx)dx = y(xy2)dy wheen x-2,

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: Q2 Find (d y/d x)& (dy/dx²) ex = 1/ cosxy

A: Given: eyx=1cos xy ⇒eyx(cos xy)=1 ----(1) Differentiate equation (1) w.r.t "x" ddxeyx(cos xy)=ddx(1)…

Q: d²y 1. dx² - dy - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: (c) Find the specific solution to d²y dx² when x = 0,= 0 and y = 1 +4 dy dx + 5y = 0

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Q: dy Find dx2 4 if y = x cos(x) d²y dx? ||

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Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: B dy x/1-y2 dx 1+x2 II

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Q: (2xy – 3x²) dx + (x² + y) dy = 0 (x? + у) dy %3D 0 -

A: This is a problem related to differential equation. Based on the general formula we will solve the…

Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: (2x° + 2xy² – xy)dx-(x+ 2x°y+ y°)dy = 0

A: We will use the basic knowledge of ordinary differential calculus to answer this question.

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Simplify the given equation to obtain the expression of dydx.…

Q: b. (xy-y)dx + (x2 – 2x + 3y)dy = 0; when x = 1, y= 1 %3D

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Q: a. b. C. (x+y) dx+(x-y)dy = 0 (2xy − 3x² ) dx + (x² + y)dy = 0 (2xy + y) dx + (x² − x) dy=0

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Q: 11. (y2 - xy)dx + x²dy = 0,when x = 3, y = 3 %3D

A: This question is related to differential equations.

Q: a. x² - y2 + 3xy = 4 = 5 %3D dy I> = ? dx

A: The detailed solution is as follows below:

Q: y" – 10y' + 34y = 3x2 + x – 1 || | (D² – 10D + 34)y = -cos3x

A: 1-D-1 = 1+D+D2+D3+.... Note : As per our Guidelines, we are supposed to answer first question.

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload…

Q: - +5. dx + 6y = 12(x+e") 1 dy given that y =- and = 3 when x

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Q: d²y dy dy %3D 1 2. dx2 6y = 0, when x - 0, y = 2, - %3D dx dx

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Q: (x²- 3bxy+ zb?y²)(xdx +ydy) = xdy-ydx %3D 4. dy -y In(yecos *)dx = y sn x dx

A: According to Bartleby guidelines we need to solve the first question

Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…