(3y - 3y) Ay Consider the formo W=(3x* +2y) dx † And y =y dx %3D a6how that y is hot exact. 4)Find the anti-differential l for W- ) EValuate s W, where 6 ib the Gurve X = VI-t°

Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

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Q: Find dy y = X 2 In (x+5x-1)+sinx

A: To find (dxdy​) for the function (y=xln(x2+5x−1)+sinx), we'll use logarithmic differentiation.1.…

Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

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Q: dy evaluate dx (sinx+1) 5-1f: y = (cosr+1)

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: Find dy dx at the point (0, 2) if y² +e™ = 4.

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Q: Let y tan 1)2x then dy/dx at x-1 is

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Q: Find dy/dx and d^2y/dx^2.

A: Given

Q: x3 for y = Differentiate. Find dx x-1

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Q: find dylde O x+ tanxy =D0

A: In the question it is asked to calculate derivative of x+tan(xy)=0 with respect to x.…

Q: [ sec2t dt + S sin?t dt + § n'-1dt

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Q: If y= sin f dt, then dy is dx 2x sin x sin x 2 VX sinx 2x sinx

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Q: dy Find dx of the equation xcosy = sin(x + y)

A: Differentiating using chain rule of differentiation.

Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

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Q: The independent variable of the (dy/dx-5 y=0) is О У X O x and y O dy O None of the above

A: For any differential equation, the terms: dydx, dxdy, dydt, dpdq etc. are called the differential…

Q: Q4: Find dy\dx if|cos?y +5y2 = x2

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Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Find dy if y=X+Sin xy Find dy if 2x. 3y= 8 2- dx 2

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Q: (x = t³ + 7 y = t5 – 3t d²y calculate for a function given parametrically dx?

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Q: 3y?r + sin(2y – 4) = V(2y)

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Q: y = Vr² + VT etin e y = r-5 y = (cos z)n. y = /tan 2x – sec3 (4x – 1)

A: as we are just given 4 functions and not any question so I assume we need to find the derivative of…

Q: Evaluate 8 siny dz dr dy.

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Q: (D³ – 3D + 2)y = -7 у" - 9y' %3D 27

A: (1).    The given differential equation is: D3-3D+2y=-7

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

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Q: 2. Y=12-36x, Y'co) = 5, 2. dx and yeo) =S. YCx) =?

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Q: dy evaluate dx (sinx+1) y = (cosx+1)'

A: Given,          y=sinx+1cosx+1

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.