f (x, y) = xy 9x +y = 18

Q: d = vxg - x;) + (y2 – Yy) x + (y2 – Y) %3D d = \(Ax)² +(Ay)²

A: We can find the distance as below

Q: - f(x, y) = Vx5 + y5. Find f-(0, 0).

A: Given that fx,y=x5+y55.It is required to find fx0,0.

Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: Q4: If f (x,y,z) = x?y³ – y²z³ then fy = %3D -

A: Given,           fx,y,z=x2y3-y2z3

Q: Obtain the particular solution when x = 1 and y = 1 3 y°) dx 3 - x(x + y) dy = 0

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Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: dy/dt^2 – 4dy/dt – 5y =0, y(1) =0 ; y’(1) =2

A: Given differential equation d2ydt2-4dydt-5y=0  , y(1)=0 and y'(1)=2

Q: d²y dy +2 + 5y = 5t2 dt? dt

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Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: X」+iyュ-Xz+iy2* =xロ Y」=V,ロ しr%3DV 2.

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Q: (3x)i + (3y)j + (3z)k F = x3 + y3 + z3

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Q: d²y dy 2 + 2 - y = 0 dt2 dt ك إضافة ملف

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Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

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Q: y" - 4y'+ qy = t %3D y (0) =o y' (0) =1

A: Introduction: A higher-order linear homogeneous or non-homogeneous equations with given initial…

Q: f(z, 9) = 82" + 5y² + 4z°y+ e7=y of Calculate

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Q: 2) 2x2 csck) dy d X M) y'= Xe'Vx-2

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Q: dx | | dt dy dt dz dt 2x + y + 2z 3.x + 6z = -4x – 3z - =

A: Given: The differential equations are  dxdt=2x+y+2zdydt=3x+6zdzdt=-4x-3z To find the general…

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

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Q: dy y dx 2x = 3y2 – 2 when y = 1 and x = 1 in terms of x. %3D - -

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Q: Find dy x 3 In (x - y) = xy + y²

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Q: Evaluate the integrals

A: Evaluate the integrals ∫02∫03y∫x2+3y28-x2-y2 dzdxdy

Q: f(x,y) = (x³ − x)(x² − 1). find fxy(x, ×

A: We have given that ,  fx , y = x3 - x y2 - 1 We need to find , Partial derivative fxy . We know that…

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

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Q: 3y2 - t2 dy t 0; y(1) = 1 2y4 dt

A: Express the differential equation 3y2-t2y5dydt+t2y4=0 in other form. t2y4+dydt-t2+3y(t)2y(t)5=0…

Q: Q3:A/ Find: dy dy y 2 Vy (1 + Vý)² yV4y? – 1 |

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Q: Find f2, fy, and f.- f(x, Y, z) = (4x² + 6y² + 3z²)¯05 fz = fy = f. =

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Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

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Q: x (xyx)dx = y(xy2)dy wheen x-2,

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: 3 V9-y s S f(1,y)dxdy. y)dzdy. y-3

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Q: dy 2 + y = 0, y(0) = -3 dt

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

Q: dyi = y1 + y2 - Y3 Уз dt dy2 = 2y2 dt dyз = y2 - y3 dt

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Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: t2 d?y dt2 4t + 6y = t3 + 1 + 6y = t³ + 1 dt

A: Differential equation

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: f(x, y, z) = V9 - x² – y2 – z²

A: The given problem is to find the surface for the given function of three variables. Given function…

Q: F(x,y, z) = 5x² + 2y² + 4xy + xz

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Q: dy dz 2. x+1 y+1 z+1

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Q: F(x,y) = -41² - 2xy-4y² +z+y.

A: Follow the procedure given below.

Q: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

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Q: Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

A: Given :ψ=x2+y2+z2e-x2+y2+z2

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

A: Simplify the given equation to obtain the expression of dydx.…

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

Q: (a) Vx² – 16y' = 11x - (b) y ln x – xy' = 0 (c) (x – u) dx – (x + y) dy = - -

A: Given that: (a)x2-16y'=11x(b)ylnx-xy'=0(c)(x-y)dx-(x+y)dy=0   NOTE: As per our answering guidelines,…

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: 1 dz -÷z³ = t² + 3t – 2 dt 3 z2 -

A: Differential equations and their type

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

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Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

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