4) Find dy where r and y are related by the equation r?y + r³ + 2y? = 5y.

Q: nd the general Solution of the tfferential equation. (x+2y-1)dx+(3x (3x+by)dy = C

A: The differential equation is given as , x+2y-1dx+3x+6ydy=0. Simplify the differential equation,…

Q: 2. f(2y+3)y+2 dy

A: Since we only answer 1 question. Please submit a new question specifying the one you’d like answered

Q: Find the complete solution of dy + dz = 3z'ydz

A:

Q: At the point (3, -1, 2), * P = xy + yz + zx A = x²yî + y²zĵ + z²xk Find p · VA O 1 O 2 O 3 O 4

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: S = In sec 3x| + C 13. z sec² 3x dz %3D 3 - tag 3z,- å

A:

Q: 2.Evaluate . xy+ds where C is the right half of x2 + y? = 16

A: Integrate with use parametric form

Q: Find the solution of the equation 3U,-5U, =0 satisfying the condition U(0, y) = sin y

A:

Q: 1.Solve the given problem W = f(x, y, z) = 3x²y+ yz² + 2z³ fxis equal to ? fyis equal to ? fzis…

A: Follow next step

Q: 4. Evaluate fo (3x + y)dx + (2y – x)dy along the straight line joining (0, 1) to (2, 5).

A: We need to find the line integral ∫(0,1)(2,5)3x+ydx+2y-xdy .  We first parametrize the line segment…

Q: Find the solution for the given DE. y +4y e", y (0) = 2 %3D y = -te" + 2e y = te+re y = te" + 2ee y…

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Q: dx -2xcsc 2y – 2x³cos 2y dy sec 2y

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Q: Ir 9- ((2, y) | 2553,1SyS 3): D then: dz dy = %3D

A: Given D={(x,y)|2<=x<=3,1<=y<=3}

Q: 15. In AXYZ, XY YZ and m/XYZ = 46*. %3D 46

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Q: dw dw Find ду at the point (w, x, y, z) = (- 4,1, - 1,1) if w = 4x y + 4yz - 4z° and x? + y? + z² =…

A:

Q: What is the solution (ry – r) dr + (x²y + y) dy = 0 when 2 and y = 1

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Q: Given that d²y 2. +y =0. dx2 Show that y = x is not Solution a

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Q: f(z, y) = 2 + + 8y? %3D (x, y)D dy dz , y) = (2, y)

A: Given function is fx,y=2+x2+8y2. Differentiate fx,y=2+x2+8y2 partially with respect to x.…

Q: In Exercise, verify that S and T are inverses.

A: GivenS:R2→R2 by Sxy=4x+y3x+yT:R2→R2 by Txy=x-y-3x+4yTo check S  and T are inverse of each other.

Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: v(e -Y cos x) • dr, where C is the line from (0,0) to (2x, kn 7)

A: The fundamental theorem of line integral, also known as gradient theorem states that suppose a curve…

Q: dz dz and at the point (3, 6, 1) where z is defined implicitly by the equation z4 + z?x2 - y - 4 =…

A:

Q: f (z,y, z) = x² + y² + 2² subject to zyz = 4

A: Given: fx,y,z=x2+y2+z2 subject to xyz=4 Let gx,y,z=xyz-4 Using Lagrange Multiplier fx=λgx, fy=λgy,…

Q: 2. Determine C when x-y%3D0 show the solutions. (xy + x)dx = (x²y2 + x² + y2 + 1)dy

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Q: Euler's difFQ 3. (y()) =VZ Eq cal g'ral-2y cx ) =x (y (x )

A: Given differential  equation:-    y' - 2y = xy3        y(1)=2√2

Q: 3. (z, y)(1.5x, 1.5y) A' will be located at ( B' will be located at ( C' will be located at (

A: We have given the scalar factor i.e . (x,y)=(1.5x,1.5y)

Q: y" – 4y' + 8y = x², y(0) = 2, y'(0) = 4

A:

Q: By making the change of variables u = 2, v = x, find the general solution of yfyy +fyx + fy = 1.

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Q: 9. Find y", given y = %3D Vx-1

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Q: 11. If mVQ = (y + 7)', mQR= (x + 11)', mRS = (3y)', and mST = 65', find the values of x and y. %3D S…

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: b) Show that if y(t) is a solution of the problem y" +e*y + y = 0, y(0) = 1, y'(0) = 2, %3D then…

A: Given y''+e-ty'+y=0, y0=0, y'0=2

Q: (2, 3), dy If x2 + xy = # = 10, then at the point dx

A:

Q: In AXYZ, PQ I| XY.If XZ= 15, YZ= 12, and ZQ = 8, what is ZP?

A: given XZ=15, YZ=12, and ZQ=8What is ZP?

Q: What is P-(y) if the given DE is xydx – (3y – x²)dy = 0? -2y 2y 2 y -2y-1

A: Given : Linear differential equation  Need re write in x form as follows dx/dy +P(y)x=Q(y)

Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

A: Given that

Q: Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

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Q: Fx, y, z) = (10y – az – 5x)i + (3by – x + 8z)k + (z – 5y + 2cx)j %3D a

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Q: If y(t) is the solution of - 2y = 4, y(0) =1, then y(t)= %3D %3D

A:

Q: We wish to find the solution to dy = 26y that passes through the point (x, y) = (1, 3).

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Q: O, x = 2, y = dy dz is

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Q: dy We wish to find the solution to dr x°y that passes through the point (x, y) = (1, 3). : (1,

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Q: az Find at (2, -2, 1) if x2 + y? + z2 = 6xz+ 6yz + 21 %3D 8. %3D %3D dy %3D 25 25 1.

A: Given,x2 + y2 + z2 = 6xz + 6yz + 21

Q: Find vf(x, y) if f(x,y) = e* c cos y 5.

A: Note : according to our guidelines we can answer only first question because there are multiple…

Q: if y' - y =2x Then, d'y -24y prove that dx (3y –1)

A: Given that: y3-y=2x

Q: F (r, y) = (3x²y² + cos y + ye", 2ar*y - - r sen y + xe*)

A: Given F→x,y=3x2y2+cosy+yexy,2x3y−xsiny+xexy. We have to determine whether the vector is gradient…

Q: dy Q(1) If dr 2.ry r, y(0) = 0, find y(1). %3D %3D

A: According to experts guidelines of bartleby i have to solve first question. So repost for further…

Q: 4. Verify that y=cx+e² +1 is a solution of the equation y=y'x+(y')' +1.

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Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

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Q: u = 4x2-x+8  and y = u4 Find dy/du

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.