dx 2x dy y 3.

Q: dy 3 y = x*y3 dx

A:

Q: ● √3x dy dx √x² + y² So So

A:

Q: 3. dy= 2x+y dx x+2y

A:

Q: Evaluate the integrals

A: ∫01∫0x2∫0x+y2x-y-z dz dy dx

Q: Find dx y = 9x -2 dy dx II

A: Given:    y = 9x-2

Q: dy + y = y³ dx

A: Methods of solving differential equations: When the differential equation is of the type dydx=fxgy…

Q: -3 (x + y)dx dy

A:

Q: (3 (x+y+2)dy dx dz

A:

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: y dy dx '2 y

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Q: 8-y y dx dy 'y

A:

Q: Dy/dx +(4xy^4)=0 X dy/dx-y=2x^2,y(1)=1

A:

Q: dy dx = y 3 2.

A: We have to find the area using the given information

Q: (3x + 2y + 7)dx + (2x – y)dy =0

A:

Q: dy 2x y3 – 4y dx II

A:

Q: Evaluate the integrals

A: The given integral is ∫02∫03y∫x2+3y28-x2-y2dzdxdy.

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product…

Q: y dx dy 3x dx II

A: We have to find out

Q: x² - 3 y : х +2 dy dx

A: Given: The function is  y=x2-3x+2   To determine: dydx of the function y=x2-3x+2

Q: dy/dx=(x+2y-3)/(2x+y-3)

A:

Q: 9 dx dy y² 0. 2

A:

Q: dy/dx = 3xy/(x^2-y^2)

A: Given a differential equation, dydx=3xyx2-y2. Clearly, the above equation is a homogeneous equation…

Q: Find dy/dx. x = t2, y = 1 - 6t

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Q: dy/dx = y^3/1-2xy^2 , y(0) =1

A:

Q: dx + 6х — у = 'y dy

A: Given dxdy+6x=y

Q: 2) dx dy x²+y² 2хy ||

A: Integrating the given equation.

Q: dy 2x – y 21 dx x - 2y

A: The given differential equation isdydx=2x-yx-2y

Q: (2x y) dx = -x dy

A:

Q: dy dx =y-x, y(0) = 2

A: Introduction: The formula of the fourth-order Runge-Kutta method is given by,…

Q: B dy x/1-y2 dx 1+x2 II

A:

Q: 24. dy + y = 12r; dx r + 2r dx dx

A:

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: y=(2x2+5cos(x))^7 Find dy/dx dy/dx=

A: dydx=ddx(2x2+5cos(x))7      Apply power rule:…

Q: (2x + y)ʻdx – 2dy = 0l

A:

Q: ) dx+ 2(y+×yナ>)dy

A: we have differential equation of is not exit...

Q: Evaluate the integrals

A: To evaluate the integral: ∫-11∫01∫02x+y+zdx dy dz Evaluating the integral: ∫-11∫01∫02x+y+zdx dy…

Q: y2 dy + y132x %3D dx

A: Given

Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1

A: The given differential equation is  dy/dx -5y= -5/2 xy3 , y(1)=1

Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

A:

Q: dy x + 3 y dx 3х+у

A: We have to solve given differential equation:

Q: y(4x+y)dx-2(x^2-y)dy=0

A:

Q: Ε. = Oy dx 47&a• (x +y)3 2

A: Introduction: The definite integration is the integration where we put limits over integration.…

Q: dx 3x + y dy r+3y

A:

Q: Find dy/dx x'+4x/y - 5 y² a ) = 3 b) Vxy +1= y 3 c) 3xy=(x'+ y')

A:

Q: (x-y)(4x +y) dx tx (5x-y) dy = 0

A: The given homogeneous ODE is: (x-y)(4x+y)dx+x(5x-y)dy=0...(1)

Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: (2x + y — 4)dx + (x − 3y + 12)dy = 0

A: We have given 2x+y-4dx+x-3y+12dy=0 This implies that dydx=-2x+y-4x-3y+12 Put x=X+h, y=Y+k Therefore,…

Q: (dy)/(dx)= (3x^2+4x+2)/(2(y-1)), y(0)=1

A: