Part 3: Variable Separable. Copy and Answer 1. y' = 3x?(1+ y?)

Q: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

A: Solve using integrating factor by inspection: (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0

Q: y)dx

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Q: Solve Separable (x – 4)y*dx – x³ (y² – 3)dy = 0 -

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Q: Integrating Factor by Formulas: (7) xy³dx + (x²y² + 1)dy = 0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: Find a general solution to the equation y' = x"(1+ y²). NOTE: Use c as an arbitrary constant of…

A: The following differential first order equation can be solved using variable separable method, We…

Q: 2. 3x(xy – 2)dx + (x³ + 2y)dy = 0

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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: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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

A: Given that(x+y-1)dy=(x-y-3)dxTo find solvesolution (x+y-1)dy=(x-y-3)dxdydx=x-y-3x+y-1Now x=x'+h and…

Q: (3x? + у?)dx — 2хydy %3D 0

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Q: y = x - 2 sin(x), 0 sxs 27 aximum value inimum value

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Q: Description 1. (2æ3 – xy? – 2y + 3) dæ – (x²y + 2x) dy = 0 - - -

A: Here I am attaching image so that you understand each and every step.

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: Solve using Integrating Factor by Inspection. Show Complete Solution. y^2 ( 1 − x^2 ) dx + x ( x^2y…

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: Using an integrating factor solve the equation dy 4 + -y = x dx

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Q: It represents the integration factor of the equation y (2xy +1)dx +x (1+ 2xy -x'y'dy = 0 al Jusi…

A: Given

Q: .fx cos² x dx

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Q: Separable variables  (1+ex)yy´= ey  y(0)=0

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Q: 6. Use Methods of Integrating factor to solve the DE below: dz + 2 xz = 2 e-x? a) dx dy b) x 2- 2 y…

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Q: the integrating factor of the FOLDE y'-2xy=x is e^-x^2, show your solution

A: Recall: Linear differential equation of first order :    dydx+P(x)y =Q(x)…

Q: 6. J 4 x4-1 -dx

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Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

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: Solve for the integrating factor y (x + y) dx + (x + 2y – 1) dy = 0 Option 1 Option 2 et Option 3…

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Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: SOLVE USING INTEGRATING FACTOR 5. y(x +2y + 2) dx + (2xy +5) dy = 0 %3D

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Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

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Q: 4. x(x² – y² – x)dx – y(x² – y²)dy = 0, y(2) = 0

A: For the solution follow the next step.

Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Q1: Find the Integration using Gamma Function Method: x*e-3xdx 0.

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Q: 5.Integrating factor by Formula 2 (2y? + 5xy – 2y + 4) dx + x (2x + 2y – 1) dy = 0

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Q: The expression 2xy³ is an integrating factor for x²y³dx + x(1+ y²)dy = 0. A) True B False

A: The given differential equation is  x3y3dx+x(1+y2)dy= 0  We have to check that 1/2xy3 is integrated…

Q: Salve 6y"o)-5y'Lx)+Yx)= esinx+ cos2X with

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Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

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

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Q: (2x+1) 5. S (x+2)*(z–1)ª -dx

A: The given integral,∫(2x+1)x+24x-14dx

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0. %3D

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Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

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Q: Find an integrating factor. (6x3y + 2xy + 2y³) + (x2 + y?)y' = 0 µ(x) : Solve the giv en equuation

A: Concept : First we have to check given equation is an exact differential equation or not. If…

Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: Use the Integrating Factor Method to solve 2y′−y=sqrt(x*e^x), y(1) = 0.  Put your solution in…

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Q: Part 8. Integration by Parts 8.1 ſy'(a²- y')i dy

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Q: The expression yi is an integrating factor for x?y³dx + x(1+ y²)dy = 0. 2xy³ A) True B) False

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