dy 18. x dx - (1 + x)y = xy %3D

Q: dy 3. Fy =x dx %3D 9.y =글 %3D 4. 4

A:

Q: dy-3x²e-3x dx = 3y dx

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Q: dy 80. VI + x dx xay + x. %3D

A: Given: 1+x3dydx=x2y+x2

Q: x² – 16- vx2 – 16 8ln (x + %3D 112

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Q: ex- ex - y%3D ex +e-x

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Q: dy if y = e-et dx Find %3D dy %3D dx

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Q: dy 1 1 dx V1 - x2 V1 - x2

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Q: dy (1 + x)y dx

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Q: 1/a 47. V = 1 dx %3D 6

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Q: Find dx2 7x y = - - 5x 4

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Q: al Evalute gred gg if Ø = ln Cx²+y*+z')

A: To solve this question first we solve for partial derivative with respect to x,y and z .Then we use…

Q: dy If x = 3t2, y = t³ then %3D dx II

A: Here we find out the dy/dx

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x

Q: x2+1 y(1) = -1 dx x²

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Q: dy 4x 29. dx 4x + %3D V16 - x2

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: dy If y = x (e* - 1), then %3D 6. dx

A: Given: y=x^2 ((e^ x)-1) To determine: d y/dx

Q: (x – 2y)dx – (2x + 5y)dy = 0

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Q: Find 2 dx 5 8x y= YP 5 - 5x

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Q: Solve the Bernoulli's DE: 2x3 y = y(y? + 3x2). %3D

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Q: y = In(sec x + tan x)

A: Solve the above differentiation.

Q: y' = e2x + y – 1

A: Using method of linear differential equation.

Q: y = 7x – 8 1. ly = 7x + 15

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Q: dy 1 3x2 In(x) + x³ • %3D dx

A: Given:

Q: dy e2x -3 Find if y = In %3D dx 1-4x

A: SOLUTION-

Q: y=√√√5-√x

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Q: dy - y(xy' 1) 2. Sove dx %D

A: The general form of  linear differential equation of first order is, dydx+Py=Q, where P and Q are…

Q: .2 x² arctan(3x) dx %3D

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Q: dy Find dx when y = (3x +2)'(1 – VE)*. 8 %3D dy %3D dx

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Q: L, sgn(x- 1) dx = 1. 0 2. 2 3. -2 4. 1

A:

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: