. (х — 2у)dx + 2(у — х)dy %3D 0

Q: d rcoso 1 dx %3D SP

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Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: 1. (r - y2) dx = 2xy dy %3D

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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: (2x – 5 y dx + (- 5.x + 3y² kdy = 0||

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Q: (x+y)dx - Cy=x Jdy untino socrect ?

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Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: (у*- 2ху)dx + Зx*dy %3D 0 Nhen y 3D 1, х — 2 ||

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Q: y - 1 %3DCOS (7x*) dy dx %3D

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Q: Specific answer please thank you.

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Q: dy - xy3 -2xy %3D dx

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Q: y = asin(k(x – E %3D

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Q: 1. SE-0) dx =- SE-D) dx 4 In|x| +C А. 4x %3D 8. В. 4* _2. dx = 6Vx + C %3D С. 4 3. s(3V+) dx = (x…

A: Disclaimer: Since you have asked multiple questions, we will solve the first three questions for…

Q: -3 (x + y)dx dy

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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: Find dy da Given: x² – y³ = 2xy

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

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

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Q: d?y -5dy + 6y = 0 dx2 Find the constant m if y = emx satisfies %3D dx

A: Given,d2ydx2-5dydx+6y=0A second order linear, homogeneous ODE has the form of   ay''+by'+cy=0For an…

Q: .3 9. dx dy y2

A: Find the double integration.

Q: 3) x = y – xcos?Y dy — у — хсos2У 4) = dy —D х — 4ху dx -

A: Here we solve the differential equations. Note: it's Bartleyby policy there is only one question can…

Q: 7x + 6 Find dy for y = dy =

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: 2e2x -1 Let y = %3D et dy Find dx

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Q: 3) y tan-1(y²) dy

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Q: dy y? – 1 y(2) = 2 %3D dx x2 – 1' -

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Q: x dy -y dz = 3xy e* dx %3D ete

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Q: 2x-x ca ch(y) 3 dy dx = 3 dx dy, then If (A)5, 0 2a+g(1)+2h(0)=

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Q: (3x - y +6) dx + (6x – 2y - 6) dy = 0 Answer: 7x + 14y + 18 In ( 21x - 7y-12) = C. %3D |

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Q: 2x+2 dx then B- %3D x2+10x+24 x+6 x+4 Oa-6 Ob.5 O10 e d.-3

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Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

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Q: (Зх — Зу+ 4)dx + (x — у)dy %3D 0

A: Given equation is (3x-3y+4)dx+(x-y)dy=0 This can be rewritten as, dydx=-(x-y)(3(x-y)+4) Take…

Q: d?y dy 3- 4y = 0 dx? dx

A: Solution of a differential equation

Q: ( 2x-sy+12) dx +(7x-4y+15)dy = o 2,

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Q: 30. Find the solution of exe dx-e-2Y dy = 0 %3D

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Q: 3 dx dy +zXxgd x = X %3D Ans: y

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Q: 2_dy -y? =2xy dt

A: Given the Differential equation is     x2dydx-y2=2xy.

Q: -1 Vx? + y² dx dy+ | ] .2 .2 + y dx dy -2 -1

A: In this question, we have two integrals with different regions of integration. Here we have to…

Q: (у? — Зу— х) dx + (2y — 3) dy 3D 0 | -

A: To solve the differential equation of the form M(x,y) dx+N(x,y) dy=0 then firstly determine ∂M∂y,…

Q: 4. y dx -x dy = x + y? .2

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

A: The detailed solution is as follows below:

Q: In(y? + 1)dx +2dy 0 y2+1

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Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: H.W: Evaluate ,8-2² y² dz dx dy

A: Since you have posted multiple questions, we will solve first question for you. If you want any…

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: (e* + у) dx + (2 + х+ yev") dy %3D0 ; У (0) 3D 1 а. b. (4y + 2x - 5) dx + (бу + 4x —- 1) dy %3D 0;…

A: The given problem is to solve the given ordinary differential equations, we have to check the…

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,…