dy Solve dx = (1 – x²)² 2xy 1-x |

Q: Solve for dy/dx and dx/dy: 8xy+2x^4y^-3=x^3

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Q: d/dx (dy/dx)` x=1, , where y = x3 + 2x - 11

A: To find: The value of ddxdydx at x=1. Given: The function is y=x3+2x-11. Formula used: Power rule of…

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: ху Solve *y - dy x+1 dx

A: Let Mdx+Ndy=0 Then the above equation is exact if ∂M∂y=∂N∂x. If the above equation is not exact,…

Q: dy Find the solution of 2ху + dx X. 2у-1

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

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Q: e | Vĩ In x dx 1

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Q: Find dy/dx, where y = (x2 - 1)4 (x2 + 1)5.

A: y=x2-14(x2+1)5

Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: dy Determine the general solution of = 1+ 3y tanx. dx

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Q: dy is: 1 dx Given y = x²e_2x

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Q: find dy dx 3 1- %3= Xナメ+1

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Q: Solve : dy =>(x² -1). dx

A: The given differential equation is…

Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: dy Find- , if y = 2x+9 dx x2- 5x+1

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Q: dy Find for: dx y = 5x[cos"(5x] -ī - 25x2

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Q: dY X 5) Solve: dx Y(3) = 5

A: dy/dx = x/y This is a variable seperable differential equation.

Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: Find dy Ser ysX"+3*+ e° dx + sin (1nx)

A: Given that: y=xy+3x+ecos-1x+sinlnx

Q: dy Find for dx 4) y= sinxtanx

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Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

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Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: d'y -+42=sin 2x 3 dx dx

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Q: A. Solve dy (1+x+) dx

A: We have to find the solution

Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: dy Find for dx 5) y = sec-(2e3x)

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Q: 2. Solve the DE: (2x + dx + 2y ) dy = 0 1+ x?y? 1+ x?y?

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Q: dy Find dx2 4 if y = x cos(x) d²y dx? ||

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Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: dy/dx of y=e^3x+1

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Q: Find dy/dx at the given point without first solving for y. xy2 = 27 at (3, 3) xp ||

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

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Q: find dy / dx 2. (xーソ) メ

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Find dy =dx when y= (x² – 5x + 7)*

A: Derivative of the function

Q: (メ2メ+Sx )dx h- Cos3x dk 120 x3-XSinx+ CusX dx C. 130 x41 (2メーリdy

A: As per our policy, I can only provide you solution for first three parts, but part (c) is not clear…

Q: 4xy dx + 2x²° dy + loy - dx + 15 x y dy=0 t

A: given equation 4x2y dx+2x3dy+10y-dx+15xy dy=0 claim- Find non- exact or first order linear DE

Q: Find d^2y/dx^2 given 2xy-y^2=3.

A: Since we are given 2xy-y2=3 - (i)Our aim is to find d2ydx2 of equation (i) = ?

Q: dz dx dy x+3

A: I=∫02∫03y∫x2+3y28-x2-y2dz dx dy   Integrate it with respect to z. I=∫02∫03yzx2+3y28-x2-y2 dx…

Q: Find dy/dx of  1. y=x3 (2x2 -1)

A: Given, y = x3(2x2 -1) Multiplying the x3  with (2x2 - 1)  So, y = 2x5 - x3

Q: Solve dx/dt+3x=e^-2t given that x=4 when t=0

A: dxdt+3x=e-2t Comparing with dxdt+Px=Q, we get P=3  &  Q=e-2t Now integrating factor is, I.F=e∫P…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: