3. (y -2 ) dx – ( x - y – 1 ) dy = 0

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: d y = -4 at x= 0. dx dy +2- +5y=0, where y = 2, dx dx

A: We have, the given differential equation as d2ydx2+2dydx+5y=0 Therefore, D2+2D+5y=0 Thus, auxiliary…

Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

A:

Q: dx =- 1. dt dy at x = 2 if y = 4x° – 2 and dt %3D Find - dy dt

A: Given: y=4x2-2 and dxdt=-1 To find: dydt, when x=2.

Q: ( 2x – sin y) dx – (x cos y) dy = 0 -

A:

Q: dy + (3y - ex) dx = 0

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: ∫ 2y dx + 3x dy   where d is described by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

A: Consider the given integral is, ∫2ydx+3xdy The above equation is of the form M=2y and N=3x. Then, by…

Q: dy Find dx - y = sin(3x*) dy %3D dx

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Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: dy if y = sin-1 dx 6. Find dy %3D dx

A:

Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: Find dy/dx at the given point for the equation. x= 4 In(y2 - 3), (0, 2) dy/dx =

A:

Q: Find dy by +xy-X=0 dy=( )dx

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Q: dy x = 1 - t/5, y = 7t – 1;. dx dy dx

A:

Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: what is dy/dx of x+ylny=y+xlnx+1

A: Given,          x+ylny=y+xlnx+1

Q: y = x2/3 dx 9.

A:

Q: (2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get…

Q: differentiatin, detamina dy of ; dx y= [at) (Xts) (a-z) (x-+)

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

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Q: dy — х) %3D У(у + x) 2 - х(у dx

A:

Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

A:

Q: Find dy/dx implicitly exy+x2−y2=19

A:

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: dy/dx of y=cos^-1 (e^-3x)

A: Given y=cos-1e-3x

Q: Find the general and particular soulution of dy/dx=3y, where y=6 and x=0

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Q: dy dx = (1 + y²)ex dx

A: As per the instruction, we will be answering the first question. For (1),      y'…

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: - sin y, dz = cos x dx – cos y dy

A: Consider the given differential equation as, dydx=sinx-y

Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

A:

Q: Find dy/dx in terms of t if x = t- 2, y = 2 + 1t dy/dx= [

A:

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

A:

Q: What is the value of dy/dx at x = 1 of the function * = (20" – a*) () x+1 y = - 2-1

A: We know that: The Power rule: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: (х + Зу — 5)dx — (х — у—1) dy 3D 0 -

A: Given: x+3y-5dx-x-y-1dy=0 To Find: To solve the given differential equation.

Q: dy Differentiate implicitly to find dx 5. 3 4 x'y +8x -3y +2 dy 口 dx

A: Given query is to find the derivative of the function using implicit differentiation.

Q: what is dy / dx if y^2 = x

A:

Q: 4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find…

A: 4. 5x-x2y3=2y5. y2+2xy2-3x+1=06.1x+1y=1

Q: dy x- y = x.cos² ² 1- dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Hw #4 ( 2 xy +y -tany) dx+(x²-x tany tSeiy )dy =o ??

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: dy y(ln y- In a +1) %3D dx

A:

Q: ex dy dx dz = e** dz dy dx 0.

A:

Q: dx 2- Find dy of y = /cos-1(In (xy)) y %3D

A: Given: - The function is, y=cos-1(ln(xy))xy To find: - The derivative of the function, dxdy

Q: ¥3 at x = 0, and = 0 with the dy dx

A:

Q: y.cos(z) dx dy dz * 0 0

A: Given that: ∫01∫0π∫0πy.coszdxdydz

Q: Find dy when y = 3 1-x %3D dx V1+x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find dy/dx Find dy/dx y =x² sin°(2x²) x*y? = 1

A: To differentiate y=x2sin2(2x2), with respect to x, use the product rule,…

Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.