dzy dy + 6y = 36x dx2 dx d?y dx2 dy -6-7y = 6e2*, dx

Q: Find dy/dx. 3x2 - y = 8x dy dx

A:

Q: dy 3. + + 2y + y² = 0,yı = -2 dx

A:

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

A:

Q: у+(2x-Зуе^у)dx/dy-0 x-3y

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Q: dy y- dx2 dy dy = 7(y+1) dx? dx

A:

Q: 3dy dx3 +5ª²y _ 2 dy = 0 dx2 dx

A: Follow next step

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: 8-y y dx dy 'y

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Q: 3x dy 2y when x = 1, y = -1 dx 2y

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Q: Find the first and second derivatives. 6x5 y = - 7x+4 ex dy %3D dx dx II

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: 2y d³y dx3 (y + 3 dx) dy dx² + 2

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Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

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Q: = 6 + 3t, y = −8t;  dy dx

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Q: 3 4-y y dx dy = 1 2y MIN

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Q: (2x – y)dx + (4x + y – 6)dy = 0 -

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Q: x*y' = x* -y*

A: Differentiation of implicit function

Q: dy 1. 3- dx |4 — х2 - y(1) = 1 y5 II

A:

Q: 2.x 2- L* (6- 22 - 3y) de dy 6 — 2 — Зу) dx dy

A: The integral is ∫03∫02-2x36-2x-3ydx dy. To evaluate the integral, first evaluate the integral with…

Q: (3x+2y+7)dx + (2x-y)dy=0

A: Given differential equation .3x+2y+7 dx+2x-ydy=0We have to solve the differential equation .

Q: dy 2+ ytanx (4x + 5)² .3 dx cosx

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Q: Зх + 2у dy dx Зх + 2у + 2 y(-1) = –1

A:

Q: (2x - xy² - 2y + 3) dx - (x?y + 2x) dy

A: Recall: In an equation of the form Mdx+Ndy=0 , first check the condition of exactness…

Q: (3-y)dx + (y-2=) dy = 0, y(-1) = 2. ry2

A: Given: 3-yx2dx+y-2xxy2dy=0, y(-1)=2

Q: dy + (ax – 7)y = bx° dx %3D - a = 2 andb = 1 dy + (2x - 7)y dx = x² 6.

A:

Q: dy 21+ dr2 (vii) dy\2] & (dy\- da2 \dx². (viii) = 0. (ix) () z\ip, + 5y3 = x. dx.

A: (vii) The equation given is d2ydx2=21+dydx232. Squaring both sides. d2ydx22=41+dydx23 Order = 2…

Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: dy/dx=4x^6sqrty,y>0

A:

Q: dy - y - 5x*-3x2 + 2x = 0 dx

A: Option D) None of the choices

Q: 24. dy + y = 12r; dx r + 2r dx dx

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Q: dy 2х-у-3 dx х+у-2

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Q: Find 2," dy d²y dx ' dx? d3y and from: dx3 3. x = 1 – t? and y = 2t3 – t2 + 1

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Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…

Q: х+3у dy= dx 3x+ y

A:

Q: 2x - y + 5) dx - (2x + y) dy = 0 where x= 3, y=7

A: Let's find.

Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: dy – y – 5x* – 3x² + 2x = 0 dx - -

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Q: dy Зx+2у-5 dx 2х+у-3

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Q: dy dy -Find dx when x=4t2 + t – 2 and y = 3t³ –1, find dx

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Q: (6x²-y+3) dx +(3y²-x-2) dy

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

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Q: 2 dy 2- 2- y = e*/2y3 dx

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Q: d²y dx dy – 3x- dx ential equation x².

A:

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

A:

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

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.