dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: dx 3. If 8c²xy = (x² - y2)2, find- dy

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: y (8x - 9y) dx + 2x (x -3y) dy = 0 where x = 3 and y = 7

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Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: d'y dr2 dy - 2 +y=3 e4x, given y(0) dx 1 and y'(0) =4; 3.

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Q: dy ху+3x-у-3 7. Ans: y-x+In y+3, %3D = C dx ху-2х+4у-8

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Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: B) dy = 8xex2. 9) y = e4x² + x A) dy = 8xe2x + 1 dx B) dy = 8xex2 + 1 %3| C) dy = 8xe + 1 D) dy -…

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Q: dy ニ 3 x +y-2

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

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

A: Given: Differential equation is homogeneousPut x=vy⇒v=xyDifferentiate both…

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

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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: dy 4 --v = -r dx 4 P(x) Q(x) = -x³, Linear in 'v'

A: The given equation is: dydx-4xv=-x3px=-4x, qx=-x3

Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

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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: 2r-r2 -3 zVx2 + y2 dz dy dx. 0. 0.

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Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

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Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: dy 3. x. e*y. + y. e*y - 4x3 = 0 dx -

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Q: dy %3D 14 If and y = when x = 1, find y(2). dx V3x-2 27

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Q: dy 5. S: y(1-Vy)2

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: dy 34. = ty² +3t²y with y(-1) = 2 %3D dt

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

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Q: d²y B Show whether y = Ax² + · x2 is a solution for x2- dy + x dx + 3y = 0 or not. dx2

A: If y=Ax2+Bx2 is a solution for x2d2ydx2+xdydx+3y=0...(1) then it satisfies equation (1).

Q: dy/dx=4x^6sqrty,y>0

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Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: dy If y = 2cscx then equals to : dx

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Q: SSS(x² + y²) dV where E lies between x² + y² +z² = 4 and x² + y² + z² = 9

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Q: dy If =-x+4x -3 and y =2 when x =0 then y is equal to dx

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Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

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Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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

A: We need to solve (x-y)dx + (3x+y)dy=0; when x=3, y=-2 The solution is given below.

Q: (3x -y - 4) dy t (x+y-4) dx = 0, 2. 14

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Q: dy Y if 2x3 +5y® = 251 Find dx

A: From the given problem:   2x3+5y6=251   Now we can write as:   fx=2x3+5y6-251   From the implicit…

Q: dy 3) xIn x- +y = 2 In x dx

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Q: .x(3xy-4y3 + 6)dx + (x³ - 6x²y2 - 1)dy = 0, when x = 2, y = 0

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Q: dy т3 + 6х + 8 Find if y dx x2 4 dy 3x2 + 6 x4 18x? 16х — 24 - | dx 2x (x² – 4)? - || ||

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