differentiate the following: Q(y)= y3/3 + 3/y3

Q: w = 4x + y² +2²³₁ x = ers²₁, y = 1 y = In(r+s).

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: 4. xydx + (y √ x² + y²-x²) dy=0

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Q: Find the value of " dt 2 at the point (0, -1) if xy + y? = 1 5.

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Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: Obtain the general solution. xy3dx+ex^2dy=0

A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: In(ax) f(x) has a stationary point at Find a and b. bx 2' 3e,

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Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: dz Find - if z = (9x + 5y)°. dy

A: we can find the derivative as below

Q: Find ax dy x-2–1 given y = 2x3

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Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: Right AXYZ with mZX XY = 12V2 Given: 45° and Find: XZ and YZ

A: Given a right angle triangle ∆XYZ and m∠X=45° and the adjacent length XY=122. To find XZ and YZ.

Q: Differentiate the function.

A: Consider the following equation: Gy=ln2y+15y2+1 Differentiate the above equation with respect to y:…

Q: -x ôx ô -0, ây for z = tg(xy)+. y

A: Prove that for z=tgxy+xy, x2∂z2∂x2-y2∂z2∂y2+x·∂z∂x-y·∂z∂y=0.

Q: Find for following 1.y = (x + v3x)S

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

Q: (2x+1)y' =e", with y(0)=0.

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Q: . Find the general solution of (³ + 2y*)y' = 3ya² in implicit form f(x,y) = c. When y(0) = 1, what…

A: We have given differential equation  x3+2y4y'=3yx2…

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: (b) If z = 9t²e 4, find dz dt 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: y' = y– y³e=2x у — узе-2х

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Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

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

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Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: Find yll of x³+y²=3 by implicit ditferetlal C1o pants

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Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 1.y =z+1

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Q: x, prove that y¨= 2(y² +1)(3y² +1).

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Q: 2 The Range (Ry) of y = v9 – x² -

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Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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

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Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: Evaluate [ T 1-x² x² + y² dydx.

A: Given: The integral is ∫022∫x1-x2x2+y2dydx. The aim is to evaluate the given integral. Concept:  The…

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: Find for following ds 1.y = (x³ + v3x)S

A: As per our guidelines we are supposed to answer only first question. If you want solution of another…

Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

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Q: Differentiate the following implicit equation for y(x) with respect to r: 3x – a°y+ 4y³ = 6

A: Finding dy/dx

Q: In x y of y = 3

A: Find your answer below

Q: t / 2 psin xаxdy y X 2 V1- x

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Q: Solve for y in terms of x and z. z = xy

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: 41 82x-x2 9V x²+y? dydx =

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Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)