2x-1 dy if y=f and f(x)=sinx²,find X

Q: Q4/ 1- Evaluate: ffy sinx dy dx

A: According to company rule we can answer only first question and rest can be reposted.

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: 8. dy dx || = -X y

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Q: d²y + 4y = x² sin 2x dx2

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Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

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Q: dy 6y = 12x- 50 sin x dx² dx

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Q: 2х-1 dy if y=f and f'(x)=sinx²,find dx x+1

A: According to chain rule of differentiation if f and g two functions are differentiable and function…

Q: d²y ex 1. Find dx2 for y = %3D (2x²–3)

A: According to our terms and conditions I have solved first question for next question repost

Q: find dy/dx 27. y = 4 tan (x3/3)         28. y = sec (x2 - 1)

A: ddx4tanx33Take the constant out:  a·f'=a·f '=4ddxtanx33Apply chain rule:=sec2x33ddxx33=4sec2x33x2

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: The equation dy - ydx = [-x*y^3* e^(-2x) ]dx is linear in x but not in y. True or false?

A: Given that dy-dx=-xy3e-2xdx.

Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: y = ( 2x³ - 8x )* Find dy/dx when x = -%

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Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: C. dy b. 4 sin 2x> , y = 2, when x = 2 %3D dx dy С. dx = x + 3+ e2x>, y = -1, when x =

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Q: = 2-x² and f'(2) dy when x = 1. dx 8. Let y f(1+ Ju), - 3.Find

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: QI Find dy for 2y2/3+xy3/20 x 0

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Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: dy - 3x2 + 4 y = In ² x – In x dx dx

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: J2-x² (X +2y) dy dX

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Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: d²y 10 9y = e3x + sin 3x dx2

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Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: * J²Z d²z дуг dx²² 1 = tan ³x tany - tanxton³y

A: Given that  ∂2z∂x2-∂2z∂y2=tan3xtany-tanxtan3y

Q: Solve for dy/dx and d2y/dx2 of : y=(x^2e^-x)- 4e^x

A: The function is y=x2e-x-4ex. Find the value of dydx using product rule as follows.…

Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: r1-x 2–2z 31. dy dz dx

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Q: Q2) Solve (y² + ysin x) dx – (cosx – 2xy +) dy = 0

A: If the equation is of form, Mdx+Ndy=0, then the equation is exact if ∂M∂y=∂N∂x. If the equation is…

Q: dy Find for x=secy dx A xsinx B D 1-x?

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Q: (3x -y - 4) dy t (x+y-4) dx = 0, 2. 14

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Q: Find dy by dx Y= 1-x² ÷2-x

A: Given that: y=1-x2÷2-x

Q: dy -(3tan x)y = 1 dx 2.

A: Given that, The differential equation is following, dydx - (3tanx)y = 1 We have to solve the DE.

Q: (2x²³x+ sin(x2-x) + y ) dx + (x²y-x) dy = 0

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Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

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Q: Solve dy 2-x -subjectto y(1) = 0 dx ху

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Q: 9) (x- y°-Ay-1) dx t 2x (x4 y +2)dy =o

A: As we know that the differential equation Mdx+Ndy=0 is exact, If ∂M∂y=∂N∂x. The solution is:…

Q: 4y2 dx = 9x2 dy when x = 4, y = -3

A: