10. Find the general solution of (2y) dx + (x - x'y) dy = 0. A. x*y - 2 = Cx?y B. x'y + 2 = Cx?y C. x*y + 2= Cx'y D. x*y - 2 = Cx³y %3D

Q: Q2 /Find dy/dx, if: (1) x y+y =x2 (2) y = 3x* -5x' +10 у -

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Q: 4. (x² + y² + x) dx + xycy = 0

A:

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

A: According to the guidelines I am solving only first question

Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

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Q: 2) (x² – 1)y' + 2y = (x + 1)²

A: Solve the following

Q: 4. (-3x+2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: The solution is given in the next step.

Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: Find the solution of (2*y² – y) dx + (x²y* – x) dy = 0 o를 +를 - C O 3r°y + 2ry* – Czy = 6 %3D o +를 +금…

A: Please see the answer below

Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: 5. (1-x) (dy/dx) + xy = xy". Ans. cy=(1-y)√(1-x)

A: Given equation is 1-x2dydx+xy=xy2. To find: solution of the given equation.

Q: 42. Solve: x dy- y dx 3x dx * %3D O x^2 y = C O x^2 = Cy O xy^2 = C O y^2 = Cx

A: All of the given options are incorrect. The solution is shown below with correct answer

Q: Find d²y[dx². 1. y = x* - 7 2. y = x + 9 3. y = 2x4 – 5x 4. y = 5x3 + 4x 5. y = 4x2 – 5x + 7 6. y =…

A: The expression d2ydx2 denotes the second derivative of y with respect to x. A polynomial function is…

Q: 46. Solve: x dy - y dx 2x^2 y^3 dy * xy^4 - 2y + cx = 0 O xy^4 - 2y + x = c x^2 y^3 + 2y + cx 0 O…

A: Topic:- differential equations

Q: 1 Pdx + Pdy = 0, y(-1) = 2. (y-20) dy = 0, y(-1) = 2. %3D ry²

A:

Q: 4. (-3x + 2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: Given that -3x+2ydy+-3y+2xdx = 0 where y3 = 8. The objective of the problem is to determine y5. We…

Q: 6. y = V7+ V3x+1 4х-5 y 2x+1 7. у 3 8. у %3 Зx+1 y = Зx? +2

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

Q: +1) xe' dy + dx 0. y

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: y = + 2x2, find dx dy and dx2 d'y

A: The given function is: y=1x3+2x2⇒y=x-3+2x2 Differentiating it w.r.t x: dydx=ddx(x-3+2x2)…

Q: * If y" = 9x – 6x² ,y'(2) = 4, y(2) = 12 ,find y %3D

A:

Q: 8. use "Linear equation" method (x*y+x'cosx)dx-x'dy 0

A:

Q: dy dx = xVI - y²

A: To solve this problem need to know the following formulas1), Where c is an arbitrary constant.2),…

Q: x²y" - 9y" + 6y' - 9 = x² + 6x y'(0) = 0

A: The given differential equation is ,     x2y''-9y''+6y'-9 = x2+6x   ;  y'(0)=0 (.)  The solution of…

Q: 1) (x* +2y) dx– x dy=0 A. y=x* +Cx² А. 4 B. y=-x* +Cx? C. 2y=x* +Cx? D. 2y=-x +Cx²

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Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

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Q: (y – x)dx + (y + x)dy = 0.

A: The given differential equation is ;                      (y-x)dx + (y+x)dy = 0 We have to solve the…