Determine x and y such that -2 4 -2 + -6 -4 -1 1 2 4 4 2x +y x = y =

Q: Determine x and y such that 4 -1 -2 x - Y -4 -3 8 -5 -5 4 1 6 2x + y 1

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Q: Determine z and y such that -3 31 x y 2 47 -1 %3D -1 -2 2. -3 2x+y 3

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Q: (x²dx- xyc = 0, x = 1, y

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Q: Find y' and y". In(7x) y = x7 y' = y" %3D

A: The given function is: y=ln(7x)x7 Therefore, y'=1x7ddx(ln(7x))+ln(7x)ddx1x7    =1x717x·7+ln(7x)-7x8…

Q: If x~G(2,3), then 2X Y : 3.

A: Given that  X~G(2,3) Then 2X/3~

Q: y = xe * satisfies the equation ry' = (1 – x²) y. %3D

A: Given differential equation  xy'=1-x2y

Q: If x + y =0 then .A x = y .B x = -y .C

A: Given x+y=0 subtract y from both sides x+y-y=0-y

Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: X+X+y if x = 9 and y = 3

A: Given data is x = 9 and y = 3   find x + x + y = ?

Q: Find x and y if: 16*+2y 32*+3y 32 and 8x-y 16*+2y 8. ||

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Q: Find if y = (+3)(x² – + 3). %3D R

A: Given: y=1x2+3x2-1x2+3 To find: dydx.

Q: à = -3x+ 2y, ÿ = x – 2y i = -3x+4y, ý = –2x + 3y i = y, ÿ = –x – 2y

A: In each problem, phase portrait is drawn by standard graphing calculators and eigen values and…

Q: Find y' if exly = 3x - y. Зх — %3D y' = ||

A: Using Derivatives of Implicit Function.

Q: 2. y" – 3y" + 3y' – y = x²e*, y(0) = 1, y'(0) = 2, y"(0) = 3 %3D

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Q: z(y" – y') – (y" – y) = 0, 1 y(0) = 1, y'(0) = 3.

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Q: 3.2 X(x²-1)-y=xy* ;y(2)=-

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Q: y" + 4y = 0, %3D y(0) = -4, y'(0) = 6, y"(0) = –8. y(x) =

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Q: Show that y= 35 x' – 30 x² + 3 satisfies (1– x )y'-2 xy+20 y= 0.

A: we have to show that y=35x4-30x2+3 satisfies 1-x2y''-2xy'+20y=0.

Q: If 2x² + 3/xy – 2y + 4 = 0, then y' at (2,2) =

A: The given equation is: 2x2+3xy-2y+4=0 Differentiate w.r.t x to get:…

Q: x(x²+1)y' + 2y = (x² + 1)³, when x = 1, y = 1

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Q: Find x and y. if (x y) (² _-3) = 4 -1 = (2-4).

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Q: x+1 If y 2х — уx then y' will be.

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Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: y' +y = x*y2 , y(2) = -1,x > 0 is

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Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x?y2 O 40 О 34 О-32 -28

A: Let's find.

Q: If z = (xy)/(x-y), show that x^(2)(∂^(2)z)/(∂x^(2))+2xy(∂^(2)z)/(∂x∂y)+y^(2)(∂^(2)z)/(∂y^(2))=0.

A: Given- z = xyx - y To Show- Show that x2∂2z∂x2 + 2xy∂2z∂x ∂y + y2∂2z∂y2 = 0

Q: 4y" – 4y' - 3y = 0, y(0) = 1, y'(0) = 7 y(x) =

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Q: . (2,-3, 4), x + 2y + 2z = 13 %3D

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = 1/(x + y)

A: We have given fx,y=1x+y We have to find ∂f∂x and ∂f∂y

Q: 1. (x+ 2)²y" + (x + 2)y' – y = x

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = x2 - xy + y2

A: fx, y=x2-xy+y2

Q: find ƒx , ƒy  . 1. ƒ(x, y) = (2x - 3y)^3 2. ƒ(x, y) = (x3 + ( y/2))^(2/3) 3. ƒ(x, y) = x/ (x2 + y2 )

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

Q: Show that y= 35x'-30x + 3 satisfies (1- x' )y'-2xy+20 y= 0.

A: Find 1st and second derivative put in ode check it gives value 0 or not

Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

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

A: 4.

Q: )Show that y= 35x'-30x +3 satisfies (1- x )y'-2xy+20 y= 0.

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Q: y' = (x + y – 2)², y(0) = 2 (Set v = x + y – 2)

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Q: Solve for x: { x: xƐR, 0<x<5}U{x: xER, 1<x<7}

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Q: جامعة حل كل من المعادلات التفاضلية الجزئية التالية u, = 2u, +и, и(х,0)%3DЗе -5x +2e -3x 66.3

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Q: (2x + 3y) if 0< x< 1 and 0< y) = otherwise

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Q: find ƒx , ƒy  . 1. ƒ(x, y) = 5xy - 7x2 - y2 + 3x - 6y + 2 2. ƒ(x, y) = (xy - 1)2

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x3 + ( y/2))2/3

A: Given: fx,y=x3+y223 To Find: δfδx and δfδy. Concept: a. fgx'=f'gx·g'xb. ddxxn=nxn-1

Q: 4x2-5y2 If x 4, y = 2 and z = - 2, evaluate %3D y-z

A: In order to evaluate value of function at some point, Substitute given point in the function to get…

Q: Show that (∂z/∂x)2 + (∂z/∂y)2 = (∂z/∂r)2 + (1/r2) (∂z/∂θ)2

A: The equation to be proved is,

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: Find y'. y = [In(x5 + 3)]2 y' =

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Q: of if y = x* (2 + x²)* (1 + 3x)°

A: Given that, y=x5(2+x2)5(1+3x)5 To determine y'y

Q: If x^2 + y^2 =14 and x+y=6, find xy.

A: Solution :  Given that   x2 + y2 = 14    ---(1) and  x + y = 6   ---(2)

Q: x(x² + 1)y' + 2y = (x² + 1)³, when x = 1, y = 1

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