Find the point of intersection and solve the equation (x − 4y − 9)dx + (4x + y − 2)dy = 0

Q: Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is…

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Q: Find the solution fo (x^3-y^3)dx + xy^2

A: Here we have,  (x3-y3)dx+xy2dy=0⇒(x3-y3)dx=xy2dy⇒dydx=(x3-y3)xy2 ..............(1) Which is a…

Q: Find the general solution for the equation: dy=(x^2+x)y^3dx

A: Given:          dy=x2+xy3dx

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

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Q: 2. Use separation of variables to solve the following equations: (a) (y² + 1)dy + (e² + x)dx = 0.

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Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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Q: Find the general solution for the equation dy/dx=(2x/y)e^y+2x

A: Given the differential equation, dydx=2xyey+2x    ⋯⋯(1) Rewriting equation (1),…

Q: solve using bernoulli's equation 2xdy + y(y2lnx-1)dx = 0

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: Q2: solve the equation dx 2х Vy y * dy 3.

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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: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

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

A: Solution is given below:

Q: Q2: solve the equation 3 dx 2х * dy y

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Q: Ql: solve the equation (y +x )dy +(x – y )dx = 0 %3|

A: oj solving this we get

Q: dy= (x+1) G-2) dx メy

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Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the…

A: Find your answer below

Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: -3x +e xー2) dx

A: Simple integration problem....

Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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Q: d³ y dx³ 2d²y dx² 1 3dy=0 dx

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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: 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: 4dx + (x — у + 2)?dy %3D 0

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the solution

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Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

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

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Q: Find the solution. ,dy --y²=2xy dx A y B y = -(- -1 D 2x x-2

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

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Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

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: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: Obtain the general solution to the equation. dy y + 7x +1

A: Here we have to find general solution of differential equation

Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: Solve the Fo (lowin) D-E e* y+2 ey =2X 2X

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Q: Solve the equation. * (x + 2y – 4) dx – (2x + y– 5) dy = 0

A: (x-y-1)3 = c(x+y-3) is correct option.

Q: Solve for the General Solution. ( x csc y/x-y) dx + x dy = 0

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Q: Solve the equation (2xy+y)dx + (x²-x)dy=0

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 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 for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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Q: Obtain the general solution to the equation. dx 8 y: + 4x = 9y dy

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