B. Integrating Factor Found by Inspection 1. x*y' = -x°y - csc (xy) 2. y (x° c *y - y) dx + x (y + x° c*Y) dy - 0 3. y (x² +y² -1) dx + x (x ty² † 1) dy - 0 4 3 %3D

Q: y(x+ y)dx + (x +2y – 1)dy = 0 (determination of integrating factor)

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Q: 2y(x² – y + x}&x + (x² –2y)dy = 0 2. Determination of integrating factors:

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Q: Obtain the solution using Integrating Factors Found by Inspection. 3.) 2x⁵y' = y(3x⁴ + y²)

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Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

A: We have to solve the given differential equation.

Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

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Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

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Q: Find the integrating factor. D.) (x^2+y^2+x)dx+xydy=0

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Q: 04 (test for exactness) (2xsinycosy - x+2x?evx* )dy =(y-sin?y -4xyex )dx 04 (solve de) (2xsinycosy -…

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Q: 1. Integrating Factors Found by Inspection: y(x + y'exy)dx + x(y'exy - x)dy + = 0 when y(0)

A: y(x+y3 exy)dx + x(y3exy-x)dy=0xy dx -x2 dy +y3[x exydy+yexydx]=0xy3ydx-xdy+[x exydy+yexydx] =0xyy dx…

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: x(x? – y? – x)dx – y(x² – y²)dy = 0 %3D

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Q: integral of (y^2-14y+5) / y(y-1)(y-5) dy

A: ∫y2-14y+5yy-1y-5dySubstitute u = y-1=∫y2-14y+5yy-1y-5dyApply the Sum Rule:…

Q: Sxsecxtanx dk=uv- fvau -Svau- O 2x sec x - S2secx a 1 Using Integration By Parts, x sec x tan dx =…

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Q: 2y(x² – y + x}dx+ (x° – 2ykdy= 0 2. Determination of integrating factors:

A: In this question we have to do Determination of Integrating Factor.

Q: Find a set of solution. Integrating factors found by inspection.   y(x2 + xy2 - 1) dx + x (x2 + y2…

A: Given the differential equation y(x2 + xy2 - 1) dx + x (x2 + y2 +1) dy =0. We need to find the set…

Q: determination

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Q: 4. Integration by Inspection y (2xy+ y²) dæ + x (y² – x) dy = 0

A: Differential equations

Q: Find the integrating factor. A.) (xy+y^2 )dx+(x+2y-1)dy=0

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Q: Using RK method of fourth order to find y at x=0.3 given dy 2xy + e* x² + xe* 'Y(1) = 0,h = 0.3, dx

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Q: Determination of integrating factors: 2y(x² – y + xdx+ (x² – 2y}dy = 0

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Q: . The integrating factor of (4xy+3y2-x)dx + (x+2y)dy = 0

A: Given that: (4xy+3y2-x)dx+(x+2y)dy=0

Q: Q6. Using Rule l-IV to find an integrating factors. (x² + y² + x)dx + xydy = 0.

A: Given- x2+y2+xdx+xydy=0 To Find- The integrating factor of the above differential equation.

Q: Find the general solution using Integrating Factors Found by Inspection y(x^4 − y^2)dx + x(x^4 +…

A: Find the general solution of differential equation

Q: 5. y(r + y)dx + (x+ 2y-1)dy = 0 (determination of integrating factor) %3D

A: The detailed solution is given below Thank you

Q: 8. y dx + 2(y -x) dy = 0

A: Linear differential equation in x.

Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

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Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: 1. Integrating factors found by inspection: (xy’ +xy dx +(xʻy² – 2 kdy = 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx+(y² –x² - 4x -1dy = 0 4. Substitution…

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Q: Find the integrating factor: cos⁡ x dy+[(y sin⁡x )-1]dx=0

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Q: Find the integrating factor: x^2 dy+(2x^3 y-e^x )dx=0

A: First order linear differential equation of the form dydx+P(x)y=Q(x) Integrating Factor:…

Q: 2. Integrating factors found by inspection.: y(x² – y² +1)dx– x(x² – y² – 1)dy = 0 %3D

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Q: find a sets of solution. Integrating Factors found by inspection   x(x²−y² - x)dx− y(x²−y²)dy= 0…

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Q: y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 5xy'. Determine…

A: Given differential equation, 5xdydx=x-y,  x=3,y=6 dydx=x-y5x put, y=vx dydx=v+xdvdx now put values…

Q: 1. Integrating factors found by inspection: (xy' +xy }dx+ (x²y² – 2dy = 0

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Q: III. Homogeneous DE 1. x dy + (y – 2x) dx = 0 2. (2x + 3y) dx + (3x + 2y) dy = 0 3. 3(x2 – y2) dx +…

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Q: (2) An integrating factor of (xy³ + y)dx + 2(x²y² + x +y*)dy = 0 is (a) y (b () (d) 2xy

A: We need to find an integrating factor of xy3+ydx+2x2y2+x+y4dy=0 Now, a differential equation of the…

Q: What is the integrating factor y(4x+y)day - 2(x^2-y)dx = 0

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Q: Find the integrating factor. (y-xy^2 )dx+(x+x^2 y^2 )dy=0

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Q: Find the integrating factor: (2x^2+y)dx+(x^2 y-x)dy=0

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Q: 2) (2x + sin x) dx + x cos y dy = 0 3) - 2y + a = 0 dx dy 3y 4) r2 (Exact). (Separation variables).…

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

Q: (2y° + xy }tx + (x*y² – 2}ty = 0 Integrating factors found by inspection: %3D

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Q: 2. y' = y sec x ; 3. у(3x3 — х + у)dx + x?(1 — х?)dy %3D 0 4. у(2х — у + 1)dx + x(3x — 4у + 3)dy — 0…

A: 2) y'=y secx this can be written as dydx=y secx⇒dyy=secx dx integrate the function ∫dyy=∫secx dx…

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

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Q: 7. The integrating factor of the non-exact DE ydx- xdy3D0 is -1/(xy). 8. The integrating factor of…

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Q: 5 Integrating Factor by Inspection: y(x3 − y5)dx − x(x3 + y5)dy = 0

A: The equation can be written in the form of  Mdx+Ndy=0 where M=yx3-y6 and N=-x4-xy5 So ∂M∂y=x3-6y5…

Q: ii- (x* + y) dx - ry dy = 0, y(2) = 1 (using Integrating Factors)

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Q: a) Variable Separable/Homogeneous Equation (x − y ln y + y ln x)dx + x(ln y − ln x)dy = 0

A: As per our guidelines, we can answer only first question and rest can be reposted. Using variable…