dy 2x + 1 y(-2) = -1. dx 2y

Q: dy 3 y = x*y3 dx

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Q: dy 3. + + 2y + y² = 0,yı = -2 dx

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Q: x*y – xy³ = –2 ху

A: Consider: x4y-xy3=-2. Evaluate dydx. Apply implicit differentiation by derivating both side of…

Q: d*y dx + 2- dx d'y d²y dx 0.

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Q: dy 3. + y = e3x dx

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Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

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Q: 8. y dx = (3x + y³ – y²) dy; when x=1, y=-1

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Q: dy 3 1 +-y = 27y3 Inx, x > 0 dx

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Q: dy + (x + 2)y = 2xe dx 19. (x + 1) X-

A: Given:- x+1dydx+x+2y=2xe-x To find:- General solution of given differential equation

Q: dy + 4 y = x³ - dx

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Q: dy 3. = (x + y)². dx

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: dy Q2 Find dx of x = *-Y 2 x+y

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Q: (3x + 2y + 7)dx + (2x – y)dy =0

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Q: y(3x-2)dx +x (1-2 y)dy=D

A: We will solve the problem

Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

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Q: dy + dx 1 y = 1 x2 – 4 -

A: Given: dydx+1x2-4y=1

Q: (3x – y – 4)dy – (x + y – 4)dx = 0

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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 dy dx +3. + 2y = 0, subject to y(0) = 2 and y'(0) = –6 dx2

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Q: Find dy/dx. x = t2, y = 1 - 6t

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Q: dx 2x dy y 3.

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Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

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Q: a. y(x² + 2)dx – (x³ – x)dy = 0; when x = 3, y = 1/3 -

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Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

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Q: dy 2x – y 21 dx x - 2y

A: The given differential equation isdydx=2x-yx-2y

Q: (2x y) dx = -x dy

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Q: dy dx =y-x, y(0) = 2

A: Introduction: The formula of the fourth-order Runge-Kutta method is given by,…

Q: B dy x/1-y2 dx 1+x2 II

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

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Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: 32. (2x-y+4) dx + (x-2y-2) dy = 0

A: Consider the differential equation(2x-y+4) dx+(x-2y-2) dy=0. The objective is to solve the…

Q: 3. ( 2x-y+ 2) dy + (x- 2y+4) dx =0

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Q: y(4x+y)dx-2(x^2-y)dy=0

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Q: b. (xy - y)dx + (x² – 2x + 3y)dy = 0; when x = 1, y = 1

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Q: 12-y2 y dz dx dy .2. 0 0 0

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

A: We need to solve (x-y)dx + (3x+y)dy=0; when x=3, y=-2 The solution is given below.

Q: d'y dx dy 6. 4Y-4 +5y = 0, y(0) = 2, y'(0) = 4 dx

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Q: d?y 7. y = e2" – 3e-, dx? dy - 2y = 0 dx

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Q: dy = -- x dx; y(1) = 9

A: Given data:     The given equation is: dy=(8/x-x)dx. The given condition is: y(1)=9.     Integrate…

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

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Q: (2x - y)dx + (4x + y - 6)dy = 0

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Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: dy 5 - 5y =-ラ*y xy³ dx

A: The given equation is a Bernoulli's equation which is a special type of first order non-linear…

Q: (2x + y — 4)dx + (x − 3y + 12)dy = 0

A: We have given 2x+y-4dx+x-3y+12dy=0 This implies that dydx=-2x+y-4x-3y+12 Put x=X+h, y=Y+k Therefore,…

Q: (dy)/(dx)= (3x^2+4x+2)/(2(y-1)), y(0)=1

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Q: dy_ y+x+4 dx у-х+8

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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: