(2r - y) dr- (r+ 4y) dy = 0 O 2y + xy-x = c O 2- 2ry - y = c %3D O - xy + 2r = c" O -x+ 2y +y = c

Q: Find the general solution of (y + 1)dx + (x – 1)dy = 0. O zy+x – y= C O ry – 2x – 2y = C xy + x + y…

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Find the solution. Zy dx = (-1dx - dy) A (x-1)x = (y+1Xc - 2x - In|y-1|) B (x-1)y = (x+1Xc +x -…

A: First re-arrange the given differential equation. 2y dx=x2-1dx-dy2yx2-1=dx-dydxdydx+2yx2-1=1

Q: . Zydx – (x – y)dy = 0, when x = 4, y = 4 O x- y = VI o x+y = 4/y o x+ 4y = V O x-Jy

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Q: Obtain the general solution of: y(x°ey- y)dx + x(y + x°e*Y)dy = 0

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Q: The integrating factor of the DE 2y(x^2 - y + x) dx + (x^2 - 2y) dy = 0 is O x^2 O 2x O e^x O e^(2x)…

A: This question is based on Differential equation.

Q: The integrating factor (IF) of the equation: (2x³y + 4x<y + 2xy² + xy* + 2y)dx + (2y³ + 2x²y + 2x)…

A: Solution: Given: 2x3y2+4x2y+2xy2+xy4+2ydy + 2y3+2x2y+2xdy=0⋯⋯⋯⋯⋯⋯eq.1

Q: (xy² + 3y²)dy – 2x dx = 0 is not separable. ylgn ihi

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Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: The DE whose general solution has the form y= C x+ Czxinx + C3x,x>0,5 gven by O C xy3)-2x²y"-3xy-3y…

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Q: 1) the solution of dy ex-y is : : a) y = x + k b) y = -x + k c) y = 2x + k dx 2) the type of ODE…

A: • The differential equation of the form f(x) dx = g(y)dy is called variable separable form   •…

Q: 3. 2y dr - (2x + y) dy = 0 x = y In cy y = x in cy %3D = x In cx 2x = y In cy %3D %3D

A: The solution of the problem is given in the next steps.

Q: What is the solution for this DE? 1.) (y - 2) dx - (x- y- 1) dy = 0 a.) x - 3 = (2 - y) ln c (y - 2)…

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Q: 3. x + y- 2z = 5 -x + 2y + z = 2 2x + 3y z = 9 Her sul - ng 5. 2x + y - z = 9ation, -x + 6y + 2z =…

A: If AX= b is the system of linear equ and we have to solve it by using the elimination method then…

Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

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Q: z = In (VT" + y") If With n e N, n > 2, Then the result of 2 (dz dy dz n Corresponds to: "-1 + y"-1…

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Q: (3.x+8)(y² +4)dx -4y(x²+5x+6)dy =0 diferansiyel denkleminin genel çözümünü bulunuz.

A: Given Equation, (3x+8)(y^2+4)dx-4y(x^2+5x+6)dy=0

Q: dy de =1+eV-z+5 O e*y+5=x+c O ey+5=x+c O y-5x+c O exy-5=x+c

A: given differential equation dydx=1+ey-x+5 find the solution of the differential equation

Q: dx +xy2=x-2y-3 can be reduced to a linear DE of order one upon multiplication of dy The Bernoulli's…

A: To find linear differential equation using Bernoulli's equation

Q: 3. Find for the simplified general solution of (1 + x³)dy – x²ydx = 0 a. Iny =In(1 + x³) + C b. Iny…

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Q: The particular solution of y(x+ y)dx + (x +2y- 1)dy=0; y(0) =2 by NEDE is A x(x+y-1) = 4e* x(x+y-1)…

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Q: D.Linear Homogeneous DE with Constant Coefficients: 1. D³y = 0; x = 1; y = 2; y' = 4; y" = -2 2. (D2…

A: As per our company guidelines we are supposed to answer only first part. Kindly repost other part in…

Q: Find the general solution of (x-4y)dx + (x+2y dy) = 0

A: Given

Q: _1. y +1-2 dy, can be evaluated conveniently if we let y+1-2=t and dy = 4r(r +2)dt. %3!

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Q: 16. Given that h2) - yn+1- Yn and = xy, %3D dx then yn+1 = A. yn + hx,Yn C. hxYn - Yn B. yn - hxYn…

A: The given question has been solved below.

Q: 1.)(x + y - 1) * d * x - (x + 4y + 2) dy = 0

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Q: y=Ax+Cx^B is the general solution of the first- order homogeneous DEQ: (x-y) dx - 5x dy = 0.…

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Q: 2 (xy + x) dx = (x²y² + x² + y² + 1) dy Oln(x² + 1) = y² – 2y — 4ln|c(y + 1)| O In (x² + 1) = y² +…

A: We have to solve given differential equation. The given differential equation is…

Q: What is the particular solution of (2x -3y) dx + (2y – 3x) dy = 0 when x 0 and y = 1 %3D O 22 + y?…

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Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D…

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Q: Solve [y (In x – In y) + x] dx +a (In y – In a) dy = 0 xlny + yln x = Cx None of the choices ylnx +…

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Q: Let y(x) be the solution for the DE. ydx = (y – xy)dy | If y(e2) = 1 then at x = -1 the value of y…

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Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

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

A: We have to find the particular solution.

Q: dy Find the particular solution of dx2 dy +36y 0 with y(0) = 3 and dx/x=0 dy + 12 - 36. %3D dx A y…

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Q: e general solution to the DE  is(6x+y2)dx+y(2x-3y)dy

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Q: 2. Identify the 3rd order nonlinear DE. 3 +x³y – xy³ = 0 \dx) d³y d²y +y dx? В. = 0 dx3 d³y d²y С.…

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Q: OBTAIN A FAMILY OF SOLUTION 1. (5 v- U) du + (3V -7U) dv=0 2. (x - yny + ylnx) dx + x CIn y - In…

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

Q: The standard form of 3dy- xydx= 3y e* 4x/3 by Bernoulli's equation is: dx = 3e /3,3 ху A dy B y…

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Q: 5. y' + 2y = 0, when x = 0, y = 2 %3D Ans. y = 2 e-2x %3D dy 6. xy +2 y– x - 2 ху — Зу+х-3 dx (у -…

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Q: 2,2 2 (xy +x)dx = (x'y+x+y+1)dy O In(x² – 1) =y² – 2y + 4ln|c(y +1)| In(x² +1) =y² - 2y +…

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Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: Introduction: The critical points of the two variables' function f(x,y) is given by solving the two…

Q: () fiz) - y-2xyy ti(-x+ x² y+) + z* そ=メー *y メ eうあ* *y* (-anaty'n g) u cory) +i vexy) 三 wy) = *y*x ;…

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Q: Find the solution. 2y dx = (x2-1)(dx - dy) A (y-1)x (x-1)(cy +x - In|x+1|) %3D B (x-1)x = (y+1)(c -…

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Q: The general solution of 2y" -xy'+ (x - 24 ly = 0, is: OaC,xJ,) + C,xJ_(2) OcC,,(3) + C,xJ_(3x)…

A: The given equation is  x2y"-xy'+x2-24y=0                                  (1) The differential…

Q: 4. Find dy and Ay for y = 3VT-1+2x at r = 2 with dr = Ar = 0.2. %3D

A: The given equation is y=3x-1+2x. Given that x=2, dx=△x=0.2. Now,…

Q: Solve (xy + x)dx = (x² y² + x² + y² + 1)dy. O In(x² + 1) =y² - y + 2 In (y + 1) + c O 1/2 In(x² + 1)…

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Q: Find the equilibrium point. D(x)%3D(x-2), S(x)=x+2x + 1 O A. (s1.7) 2 3.$1.78 OB. $2.25 OC.…

A: Given: D(x) = (x−2)2, S(x) = x2 + 2x + 1

Q: An integrating factor of y+ x+ xy² dx+ x* |dy = 0 is 3 2 4 1 A) B) x3 1 C) - D) x2

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Q: dy The solution to dx = x²/y with initial condition x = 0 , y = 1 is %3D a. y = b. y = x3 +1 (x³ +…

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Q: 1. y' = xy ; xydx – dy = 0 2. y' = xy ; xdx -dy = 0 3. y' = xy + 1 ; (xy + 1)dx - dy = 0 E) dx – dy…

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