Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

Q: Determine the particular solution. (2xy)dx = (y² – x²)dy × = 1, y = -2 2 = 3x3y + y3 O 3 = 3x?y + y3…

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Q: Obtain the general solution. (xy)dx + (x² + v²)dy= 0 OC- 2(x2 + xy + y?) OC- y^(2x² + y?) OC = y(2x2…

A: Given (x.y)dx + (x² + y²)dy = 0

Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

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Q: Find the solution of the homogenous equation: 2(2x2+y2)dx-xydy=0

A: The given differential equation is  2(2x2+y2)dx -xy dy=0

Q: a) Find the general solution of the given equations of the line (2x - 5y + 10)dx+ (7x + 3y - 8) = 0

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Q: Find the general solution of dy -2x6 dx y-4

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Q: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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Q: Solve for the value of C in the equation (2x^4e^y + 2xy^3+y)dx+ (x^2y^4e^y-x^2y^2-3x)dy=0 when…

A: given 2x44ey'+2xy3+ydx+x2y4ey-x2y2-3xdy=0

Q: dy - y = e2*y³ dx

A: Let's Solve,

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Obtain the general solution. (Let 2C=C) (4x + xy*)dx + (y +x*y)dy = 0

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Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

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Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

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Q: dy X+y dx

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Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

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Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: SOLVE THE EQUATION (y -2) dx - (x-y-Ddy = o ISSING THE DE LINEAR IN x 4 Y VAKIABLES.

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Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: . Find the complete solution of dx + 2x Y = 2x²y²e*dx V

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

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

A: Given: 1+x+y2dx+1+xx+ydy=0

Q: Obtain the general solution of the following equations:   1.) y(y3-x)dx+x(y3+x)dy=0

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Q: (2x - 5y+3)dx = (2xrry-6)dy =o

A: Given  (2x-5y+3) dx - (2x+4y-6) dy = 0 ⇒ (2x-5y+3) dx = (2x+4y-6) dy ⇒ (2x-5y+3)(2x+4y-6) = dydx ⇒…

Q: determine the general solution of the equation. x(y'-x)dx-y(y'+x)dy=0

A: we will integrate this equation and find the solution of the equation

Q: dy 2y+3\2 dx 4x+5. ||

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Q: 1/ Solve the equation: (3x²+2xy") dx + (2x³y) dy = 0, where y(2) = -3

A: This equation is exact differential equation

Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Find the general solution. dy - 2y +4x3 dx

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Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: y dx + (3x – xy + 2)dy = 0 solve by Linear method

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Q: Find a solution of dy (x³ – 1) = y2 – 4 | dx that passes through the indicated points. a) (0,1) b)…

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

Q: Find the solution of y (4x + y) dx – 2 (x² – y) dy = 0

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Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: How / Find the solution for the equation @ y√ √ x² + y ² dx = x (x + √x² + y²) dy 1

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

Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: (b) Find the general solution of (y* + 2y)dx + (xy³ + 2y* – 4x)dy = 0 %3D

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Q: Find the general solution of dy d' L+64 y. 3 dx -=0 dx

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Find the general solution:  1. (x^2+y^2) dx = 2xydy 2. xy' - y = √x^2-y^2

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Q: x2  d2y/dx2 - 3xdy/dx + 3y=0  what is the general solution

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Q: (Think homogeneous) Solve explicitly (y² - xy) dx + x²2dy = 0

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Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Solve the bernoulli's equation x(6x^2−y−1)dy +2ydx =0.

A: The given Bernoulli’s equation can be written as:

Q: Fınd the general solution of d²y dy + 2x - 2y = 0 dx dx² where y(x) = x is a solution.

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