y = y 3= V1-2x find dyldx.

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

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Q: ( (2x² + y) dx + (x³y - x) dy=0

A: See the details solution in below

Q: Sketch the curve (2² + y*)³ = 4.x²y? 2.2

A: To sketch the graph of:(x2+y2)3=4x2y2

Q: Vye-y" dy 2.

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Q: dy

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Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: d?y (2) dx2 2dy + 4y = 0 No boundary conditions

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Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

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Q: dy dr (0,16). for the equation = 18in(v² – 255) Find at the point

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Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: 2x= y+e *t %3D 3y eSt

A: In these questions, we have to find the determinant for the system of the differential equations.…

Q: dx -x = 2y², dy y(1) = 5

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Q: d²y Find xp y = d²y 口 %3D dx 2.

A: topic - double derivative of a function

Q: dy at t = -1. dx 2t -8 and y = 31+12, then find %3D

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Q: x? 3xy +y?=19 what s the dy at point

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: dy If x = 3t2, y = t³ then %3D dx II

A: Here we find out the dy/dx

Q: Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: b. x=Jy+9,x=0, y =1 through 360° about the y-axis.

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Q: Calculate (ay² + y) dy dæ. 3.

A: We use the properties of integrals to evaluate the given integral.

Q: Find dyldx: y = x^(x^2)

A: Given function: y=xx2

Q: Dyy 2y-x; %3D

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Q: V4-y 2x+y r2r+y dz dx dy -V4-y

A: A triple integral involves the integral with respect to x,y, and z. Similar to partial…

Q: dy +y= x doc

A: Linear differential equation: - An equation with a variable, its derivative, plus a few other…

Q: dbout specified axis. y = 8x - x2, y = 12; about x = 2 %3D V =

A: The method of cylindrical shell to find the volume of the region bounded is solved using the…

Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: If y = (x + 1)(2x – Vx), then y' will be,

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Q: d'y dy y = aebx is a solution of %3D dx2

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Q: yаx + (x3у? + х)dy %3D0

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Q: find in terms of x and y. dx 18) x =-4y+2y

A: x2 = -4y +2y3 To find dy/dx in terms of x and y

Q: a. y = (u /5) + 7 and u = 5x - 35 dy Find du

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Q: (c) y" – y' = t², y(0) = y'(0) = 0.

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Q: (а) у"— (а + В)y' + аBy %3D 0 (а + B)

A: Answer as follows

Q: J (y)=[(l+y* xdx, y (0) = 19, y (1) = 30

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Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: dy un 3 sec2 5x, w dr

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Q: d²y Find dx ,where y = 5x – 3x²,

A: we have to find the second derivative at x=1

Q: dædydz (b) (1+x + y+ z)*

A: Kindly go through the explanation

Q: Let y = 4**-2x+3. Find d²y - dx2°

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Q: The curves x=y²and x = 2 y – y?

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: If y x 2+2 and u 2x-1, then the dyldu is

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Q: ' + y = y? Py = 1 + ce¬# Dy-1 = 1+ ce¯ Py = 1 + ce² Dy-1 = 1+ ce

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Q: dy = y – xy³e-2x (final answer should be in terms of y) dx

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Q: *-y dydx 2x

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Q: y = 1+(t- y), 2<153, y(2) = 1, with h = 0.5 %3D %3D

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Q: A V1-Vy dy •1 y 4

A: ∫1411-yydyLet u=1-y.=∫120-2udu=-∫012-2udu=--2·∫012udu=--223u32012=2·132=23

Q: Find the [y* f16 – y°dy

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Q: d²y If y = x Inx , find dx²

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