If that x+y=y+y that y

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: if y = x (Vx – 2) (1+ x)'(2– x)'. |- y

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Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: If u x v = 0 then u = 0 or v = 0.

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Q: Find fzyæ. 4 + ,7,4 f (x, y, 2) = x*y"z* + xy* + y°z

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Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=1/3,y(0)=1, then y(x)=?

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Q: OF(2,9)= OF(2,9)= %3D OF (2,y) = X,Y %3D OF(2,y) =

A: Since     F→(x,y)=<-y, x2> The vector field of the function is

Q: , (х, у) (0,0) x+y f(x.y)%3D (х, у) (0,0)

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Q: find the volume of the solid

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Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

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Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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Q: Let ƒ(x, y) = 4x2 - 9xy + 6y3. Find ƒx (x, y) and ƒy (x, y).

A: To find the derivatives.

Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

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Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

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Q: set of equation: +z = 1 ay + 3z = 5 3y + az = 6

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Q: Find when r = 2 and s = 0, if: as z = xy² – x – y x = y = ers 1+s

A: Here given that z=xy2-x-y, x=r1+s,y=ers So, ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s        =y2-1-r(1+s)2+2xy-1ersr

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: of xy subject to x +y =

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Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: Se xye" dy, C. x- , y-, z- , 0 <te1

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Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

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Q: 4) Find y' if y= (x^+ax}*

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Q: (11) tanh(x+ y) =: tanh x+ tanh y 1+tanh x.tanh y

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Q: find Way if f cu,U) 4 - 2 u = X +y Vニy

A: 4.

Q: *宗+> B. If z = show that x 3z %3D x+y

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Q: If A= and D = A+B and d2--1.d, 2 then 1. x=-1.y = -1 2. x=-1.y = 1 3. x=-2 y =1 4. x-2. y --1

A: We have to find the required values of x and y .

Q: y" – 4y' + 3y = et 1+ ex

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Q: let lly) :x"y"-x (H42) y' + (x42)y

A: Given that Ly=x2y'' - xx+2y'+x+2y a) Show that y=x is a solution of Ly b) Solve Ly=x4ex

Q: 2. Ex Fnd そ if Z=マ+S+v ノ イ=メS マニメe *S=yさ

A: Given function is, z=r3+s+v2 Where, r=xeys=yexv=x2y

Q: Is x + y=0 direct

A: We prove that  x+ y=0 is direct variation . We prove that it is a simple relationship between  two…

Q: 2₁ "+21y+8x=y" + 5y' + ex

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Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: If 6x³ +x* –y³ 2x² +y² f(x, y)= if (x, y) (0, 0) if (x, y)= (0, 0) then f,(0, 0)= O does not exist

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option (A) does not…

Q: Find for z = for z = ex-y Əz Əx

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Q: Evaluate y" at x=2 and y=1 if   x4 +  y4 =5.

A: find second derivative

Q: 3 #1 Find y" if xy-y%=4.

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Q: 2. If y=x³e²x find y(n) and hence y(3). (v)

A: I am attaching image so that you understand each and every step.

Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

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Q: 3 if/xtys+x²y³ - xy² + 5y + (x*y*)ž | %D then 3y'at(-1,2) =

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

Q: x+y Show that: B(x+1, y) = B(x, y)

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

Q: 5) fay (x. y) 7) fyy Cx,y)

A: fx(x,y)=∂∂x(2x3y+y)fx(x,y)=2(3x2y)+0=6x2y

Q: Evaluate 1 z-y zy dxdzdy y

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Q: 4.x( (y' + In x)y'+y = 0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=13,y(0)=1, then y(x)=?

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Q: Find fx ( x , y ) and fx ( 3 , -2 ) and fy ( -2 , 1 ) .  f ( x , y ) = 8xy + 4y4 + 8

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Q: 3- اذا كانت )f(y دالة كثافة معرفة كالاتي :۔ 0 y وجد )1.2 > p(y ؟

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Q: X: y%3D Vln x X UJA

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.