BERNOULLI'S EQUATION dy 1 2(y+1) 2) dx 2(y+ 1)* x+1

Q: y(x²-1)dx + (x³+8y-3x)dy =0  when x=0, y=1

A: Given: 3y2(x2-1)dx+(x3+8y-3x)dy=0initial condition is x=0,y=1

Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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

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

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: 5 0 2x +2 dy dx dz in the order dz dx dy 0 -1 0 5 0 2x+2 0 -1 0

A: Given that ∫05∫-10∫02x+2dydxdz The objective is to show that, ∫∫∫dzdxdy In the interval,…

Q: sin(x²-1)y separable or not dy dx y2-1

A: To find given differential equation is separable or not .

Q: 0.1 0.2 dz dy dx 3-3 X-る りー-oハ そ--0,2

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Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: 67. = 2x − 7, y(2) = 0 dy dx dy 68. = 10 - x, y(0) = -1 dx 1 69. dx + x, x > 0; y(2) = 1

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

Q: tan-1 y y² +1 tan-1 y ) dy

A: We’ll answer the second question since the exact one wasn’t specified. Please submit a new question…

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

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

A: Compare the given equation with Mdx+Ndy=0 to obtain M and N. Calculate the partial derivatives of M…

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: dy =-2x tan y, 1- y(0) = 1/2. dx 2- 2 ydx CSOS 3- e*dx-ydy 0, y(0) = 1

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Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a…

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: y=(1+2cot"x) 3 dy_ 8(1-2cot"x) dy 8(1+2cotx)° %3D dx 1-x dx 1+x? Op tion 3 Op tion 1 dy -8(1–2cot"…

A: Let's find.

Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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Q: 2- Linear edluan 1 - y' +スリ= 2é 2- x y'ony-ax? %3D 3. (x-2) y`+y. x 4 4-(49-3x)dX+5X dy = - 5_ dy dx…

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Q: ý =y+X ans y= as +aoX+(a+). %3D a. %3D e +e-X-1

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Q: 2х- 1 dy for y = dx J (*-7) (1* -7) dt. Use Leibniz's rule to find dy dx

A: Given, y=∫02x-1t4-7dt Using Leibniz's rule we have to find dydx. According to Leibniz's rule we…

Q: (2xCosy+3x²y)dx+(x²-x²Siny-y)dy =0 «

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

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Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: dy 2. if y = In(x² + 1) Then at x=1 %3D dx 2- 2 In 2 2- 1 1- 4- 1/2

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Q: dy 1- dx e-x-y-2 У (0)- -2 dy 2- dx ylny y(0)=e? 1+x2

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Q: 2. 3. (32²+7)dx=(2,₁¹²₁ )dy = 0 4) 1 xe²x dx + (5-1)dy = 0, y(0) = 0 1

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Q: 2+ X 50 -x + 4y dy dx 2-X

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Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

A: Note: As per our guidelines we are allowed to solve one question

Q: 1 dy 2 - Y = 0 y =x*prove that - 2)- = 0 y dx

A: Given, y=xxTake log on both sides,lny=lnxxlny=xlnxDifferentiate on both…

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20)…

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

Q: dy 2. dx = x³(y – x)² +, Y1 = x,x > 0 y У1 — х, х > 0 dy 3. + 2y + y² = 0,yı = -2 - dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: dy when x = 1 is dx If y = e-ª In x then A) 0 B) Does not exist D) = E) e

A: We have to differentiate the function y=e-x lnx Use the product rule of differentiation…

Q: (4) (2xcosy+3x²y)dx+(x³ – x²siny-3)dy=0

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Q: 1) x(2y-3)dx +(x'+1)dy-0 (x+1)(2y-3)=c ans:

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Q: x-2-x-4 The differential of y=- -2 - x -3 A dy =d xp - B dy= - -dx dy =-dx D dy: -dx is

A: we have to find

Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: (0,1) 12. (3x – y+ 1) dx – (x + 4y + 2) dy J(-1,2)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1-x²-y² /1-x2-y2 1-х2 (x² + y²)dz dy dx -/1-x2

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

A: Let's find.

Q: 2 Z - 6 A xy dy dx dz 3.

A: ∫03∫09-z2∫0xxydydxdz

Q: [cos y + 1]dy + [tan x (sin y + y)]dx = [sin y cos x + y cos x]³ dx gettyimages When:x= 0; y = 2

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Q: 2x[3x +y- y exp(-x²)]dx + [x² + 3y² + exp(-x²)]dy = 0 IC:X = 0, y = 1

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

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Q: +7 -3y = 20 sin (x), y(0) = - 1, y(0) = 2, dy.3y %3D Q5 5 dx dx

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Q: 3 - 2 (6x + y) dx dy 0 -5

A: To find : double integration

Q: d²y dy -2 +4y dx 2e 2x dx2 x3 an is given hy:

A: