2. y = x5 – 5x+

Q: Зх +8 (y-3x) dydx y + 5x —1 ) — 5х (y – 3x)"

A:

Q: 3) 2y"+y'-y = x + 1

A:

Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: 17. y"-5y6y=t² + 7, y(0) = 1, y'(0) = 0

A: For an initial value problem with boundary conditions available, we have to convert the given…

Q: xy" - (4x + 1)y + (4x + 2)y = 0,

A:

Q: 13. y = A²x' - 3Bx %3D (x) ans : y' = 34A²X² - 3B %3D (x)

A: Given: Y(x)= A2x3-3Bx Differentiate y(x) with respect to x

Q: 36x-8y^2 where X=3 and Y=-6

A: NOTE: Refresh your page if you can't see any equations. . here the given values are  x=3 and y=-6

Q: S 72y3-3y² (y² – y)dy

A: We have to evaluate the integral ∫72y3-3y2 y2-y dy

Q: (2x÷y)" (v÷x)' 4

A:

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

A: Using Derivatives of Implicit Function.

Q: Find y'' in y = ex2 + 5x

A:

Q: Differentiate implicitly: x*y+ xy³ = 3x + y

A:

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: 2. y"+ 4y 4 sec2x

A: @

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: Find YZ and XY. Y -19 0. 6.4 15.4

A:

Q: If y = 5 when x = -3, find x when y = -1. %3D

A:

Q: (x³y³Xx³y²) x¹'y TO

A: Given problem:- x5y3x8y7x4y10

Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: 30.t2y″ + 3ty′ − 3y = 0

A:

Q: 1 dydx 4+ y³ 0. 2.

A:

Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: 20+y dy 20-y -20

A:

Q: Maanze; Z こ5x +y Subject to Lラトーメ 5x +3y 575 X20,4? 0

A: Maximize Z=5x+y Subject to, x-y≤75x+3y≤75x≥0, y≥0 The graph is,

Q: 23- y" + xy = 0, y' (0) = 0, y' (L) = 0

A:

Q: 2x y" – 4y' + 4y = 8 – 2e² y(0) = 0, y (0) = 1. -

A:

Q: (b) dr dy - у — 1 x + y+3

A:

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: SS** dydx 1+x (y + 2x)¯1/2

A: Given integration is, ∫01∫11+x2(y+2x)-12dydx

Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x

Q: Find dy. y= (4x*+3)/2

A:

Q: 2 D²y+y=secx²

A:

Q: X + y + z = 11 X - y + 5z = 17 5x + 5y + 5z = 19

A: See the details solution in below

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

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Q: 12e* 10) y"-2y'+y =-

A:

Q: DY X (13x+2)° (20x-6) (13x)

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

A:

Q: find dy. xy2 - 4x3/2 - y = 0

A: Given function is xy2-4x32-y=0. To find: dydx. Power rule of differentiation states that:…

Q: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider

Q: y′=(3x2−ex)/(2y−5),y(0)

A: Given,

Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

A:

Q: Find y': y = /5+ 2x – x² - 1-x O y = V5+2x-a2 1 O y = 2/5+2x-a2 7-2x O y = 2/5+2x-a²2 O y = /2 – 2x

A:

Q: Calculate (x + y) 3x 2y 4y° (5х — 20)°

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Q: dy +(1x - 7)y = 2x° v. 6.

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Q: What is y' if xy^3 + yx^3 = x - 3y?

A: Consider  xy3+yx3=x−3y

Q: Find mZX. Y 2 3

A:

Q: 2. Differentiate the following: (a) y = x²z

A: The given expression is: y=x2x   ...1   As we know the Product rule: f·g'=f'·g+f·g' The Power Law:…

Q: 10. Find y'if y = 3(x³-7x + 2)15 + 4x² – 2

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.