Classify and Solve the following x(dy/dx) + 4y = (x^4)(y^2) subject to y(1) = 1

Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

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Q: first derivative y= 4in Gty) is dy 4.

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Q: Find dy/dx by implicit differentiation. 4x2 + 3xy - y? = 2 dy/dx =

A: We have to find derivative

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: [2 ln (x)+1] dy in yty cosy %3D dx

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Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

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Q: Find dy/dx by implicit differentiation. 52) x3 + y3 = 5

A: Given implicit function : x3+y3=5

Q: solve for dy/dx :  arcsin (x/y) + arccos(y/x) = 5

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Q: Solve 3e* tan y dx+(1-e*)sec² y dy = 0.

A: To solve the given differenrial equation.

Q: 5y + sin y = x²

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Q: Find dy/dx by implicit differentiation. ex/y = x - y

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: ■ Find dy /dx  by implicit differentiation x3 + y 3 = 1

A: The given equation is x3+y3=1 Use implicit differentiation( chain rule) to find dy/dx .…

Q: Find dy/dx by implicit differentiation. 6/(x^6) + 6/(y^6) = 14

A: We have to find dy/dx by implicit differentiation.

Q: Compute dy/dx for the function. 2. y sinh - 6x

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Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: Differentiate. y =x° In x- dy II

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Q: Tutorial 14 If y = (sin-1 x)², show that dy (1 – a²) - dy = 2. dx dx?

A: Given, y=sin-1x2 Differentiate with respect to x y'=2sin-1xddxsin-1x=2sin-1x11-x2y'=dydx=2sin-1x1-x2…

Q: Find dy/dx by implicit differentiation. 32 y +8yr=-7 dy/dx

A: Given                3x2y+8y2x=-7               we have to find dydx

Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: 4. Evaluate: a) 4 (earctan x)dx o dx b)음 arctan x dx # earctant dt

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

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Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: dy/dx of y=sec^-1 (5x)

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Q: 4- cosh x2 dy + (sinh x)y = e-* dx

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Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: (3 sin y – 5x)dx + 2x² cot ydy = 0

A: Given the differential equation:       (3sin y-5x)dx+2x2cot y dy=0 Solve using substitution method.

Q: Find dy/dx by implicit differentiation. 9x2 + y2 = 4 dy/dx = %3D

A: Topic:- Differentiation

Q: Find dy/dx of x siny + y = 4x + 3

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Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

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Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: Find dy/dx by implicit differentiation. 4+6x=sin(xy^2) + y

A: Answer and explanation is given below..

Q: ■ Find dy /dx  by implicit differentiation 2x3 + x 2  y - x y 3 = 2

A: 2x3+x2y-xy3=2

Q: dy Obtain general solution of- 3/xy dx

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Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

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Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: Integrate dy/dx=(1+x^2)/(-2x-x^3)

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Q: Find dy/dx by implicit differentiation. x4/3 + y4/3 = 1

A: Given that: x4/3+y4/3=1

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: Find dy/dx of sin^2(3y)=x+y at (2 - pi)/4 , pi/4

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Q: Find dy/dx by implicit differentiation 4Vx + Vy = 3

A: Consider the equation

Q: Differentiate the function. 1 y3= (2x +3) dy dx

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Q: dy sin: 8. x +2y = dx y(2) = 1

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: 1 dy if y = dx -1 Find - tan 3x. dy dax

A: Use derivative formula

Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as