(x + 2)³ y = (x² – 4)

Q: 2) (D² +6D+91)y= 16e-3x x² +1

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Q: 3-2r . Find y'(0) %3D

A: Given: y=3-2x21+x To Find: y'0=?

Q: 1-r-y C * (r* + y° +:')}dzdydx 14

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Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: -. (D² +4D+4)y=-x*e y =-x³e

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = 5xy - 7x2 - y2 + 3x - 6y + 2

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Q: 3x+y>-1 x+2y <8

A: Equation of first line is 3x+y=-1 For x=0, y=-1 and for y=0, x=-0.33 Equation of second line is…

Q: .2 x + 1 y = x3. %D - 1

A: The differentiation of df(x)/dx where f(x)= a/b is given by chain rule    d'(x) = (b.a' - a.b') /…

Q: - / 4(1-)esc2(1– y)dy

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Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: Fin (x ¯+y¯) 2 x+y?

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Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

Q: 3 -3x (0°+ 4D* - 30- 18)y= 24 x e

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Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

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Q: 2 X 2.(D²-4D +4)y = x

A: find find its auxilary equation then find its complementary solution then find particular solution…

Q: y = x2/2x2 + 3 at x = 2

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Q: (D²-3D-2)y = 0 Find y when x = In 2 when x=0, y'= 9, Y=0, y=0 4.

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Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

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Q: 14. (D - 3D² - 6D + 8) y 3.x = xe

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Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: y2(1+p2)=x+yp what is y?

A: Given data:     The given expression is: y2(1+p2)=x + yp.   The given expression can be written as,

Q: [D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

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Q: y" - 2y' + y = 4e-t + 2et, where y(0) = -1, y'(0) = 2

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Q: 3x' - y = 2t; x' + y' - y = 0; x(0) = y(0) = 0

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Q: f(x, y) = x³+y³-300x - 75y-3

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Q: 2x + yーz = -7 3x-y+2z x+ 2y + 3z 18 ニ 13 三

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Q: -4x 2.) y = required:a) find the value of y if x = 1

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Q: xy then, y' y+ 2Vx3 x+- 2

A: How to do Implicit Differentiation 1. Differentiate with respect to x 2. Collect all the dydx on one…

Q: 2. y³ = 2a°x³ , find y". 3. 4x° = 3y*-x³y? , find y" %3D

A: Note: Since you have posted multiple questions, we will solve the first question for you. if you…

Q: (D² + 3D – 4)y(x) = 12e2x

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Q: * (D-2y'y(x) -0 d Ja -1

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Q: d. xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2 -

A: first write teh differnetia; equation in standard form and then solve.

Q: —2ху y' = x2 + y2 у(1) %3D1 [2

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Q: 6. y = V2x – 3x . Find y'" -

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Q: y" + 14y' + 49y = -5 e-7x %3D

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

A: Given function ƒ(x, y) = (2x - 3y)3 Firstly find δfδx δfδx=δδx2x-3y3 Apply the chain rule…

Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: y' +2y = -x8y5 will be transformed to the follo"

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation…

Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

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Q: y"-2y'+y = e* Inxr

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

Q: (D2-3D+2)y=xe*.

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Q: 2х — 7у — 9z %3D-16. y +s +t

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Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

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Q: d. xy' – y – 5xª – 3x² + 2x = 0 when x = 1 and y = 2 -

A: It is the linear equation of first order.

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = 2x2 - 3y - 4

A: Find ∂f∂x as follows: ∂f∂x=∂ ∂ x2x2-3y-4        =∂ ∂ x2x2-∂ ∂ x3y-∂ ∂ x4        =4x-0-0        =4x

Q: 2x + 5y = -4 -2x + 3y = 20 what is x and y?

A: Given equation are By adding the two equations, we get

Q: y'- 4y + 4y = x(2e²× + xsinx)

A: The given differential equation is                    y''-4y'+4y=x(2e2x+xsinx) ⋯⋯⋯ i The…

Q: 2dx 3 X - - 2 X

A: The given integral is ∫2 dxx-x23. We have to evaluate the given integral.

Q: - 3 Find y' for y = 2x- 2x-1. y' =D %3D

A: