dx += yy(0) = 0 2/y

Q: dy/dx of x + y + xỵ = 3

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Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: Find dy/dx for (x+y)3=x3+y3,at the point  (-1,1)

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Q: dy Find of y=: dx InIn2r

A: We need to find derivative of y.

Q: 8. y dx = (3x + y³ – y²) dy; when x=1, y=-1

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Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

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Q: dy/dx if y = cosh 2 Jx +1 2 JX +1

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Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: Solve : y dx - (x+2y*)dy =0.

A: The given differential equation is: y dx-x+2y2dy=0 To solve the given differential equation.

Q: dy dx Find t3 de +1 ソニ 1-3x

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Q: dy + 4 y = x³ - dx

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: *+1 dx = 0 3- xex dy +- y

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Q: у (буз — х — 1) dx + 2x dy — 0 || -

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Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: (2x – y)dx + (4x + y – 6)dy = 0 -

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Q: dx 7. Inx- dy y 8. Vx2 +1 dy + Vy² – 1 dx = 0.

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Q: dy + dx 1 y = 1 x2 – 4 -

A: Given: dydx+1x2-4y=1

Q: dy with y(0) = 1 dx y – 3 II

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Q: dy 1.3- |4 - х2 ys dx : у(1) %3D 1

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Q: 10) y7 exbx

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Q: Find dy/dx. x = t2, y = 3 – 6t dy dx ||

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

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Q: Y(3x*2)dx + x (1-2y) dy-0

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Q: dy Find for dx 5) y = sec-(2e3x)

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Q: J2-x² (X +2y) dy dX

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Q: dy dx = (1 + y²)ex dx

A: As per the instruction, we will be answering the first question. For (1),      y'…

Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

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Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: Find dy/dx. x = Vt y = 7 - t dy dx

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Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: Find dy/dx by implicit differentiation. 5x2 + y² = 25 dy/dx = %D

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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: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: dy い+ with dx y(-2) = 2 ニ - y x

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Q: f- dx dt - 4x=2e²¹ + e*; where x(0)=0

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

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Q: dz dx dy x+3

A: I=∫02∫03y∫x2+3y28-x2-y2dz dx dy   Integrate it with respect to z. I=∫02∫03yzx2+3y28-x2-y2 dx…

Q: Vaz x² S. (2) dy dx

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Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

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Q: 4 x dx Y 3- SSin X

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Q: d²y dx dy – 3x- dx ential equation x².

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Q: Find dy/dx. x = 6/t, y = Vte-t

A: The parametric equations are given by x = 6t  y = te-1 To evaluate : The expression of dydx

Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: Solve dy 2-x -subjectto y(1) = 0 dx ху

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

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…