-(1 + 4xy– 4x²y)dx + (x2 – x³ )dy = 0; when x 2, y = %3D %3D

Q: 1. (r - y2) dx = 2xy dy %3D

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Q: ● √3x dy dx √x² + y² So So

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: 2. У(x3е*У — у)dx + x(у + х3ехУ)dy %3D 0 -

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Q: Find the general solution for (y + 1) dx + (4x-y) dy 0 %3D

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Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: (3xy + y² )dx + (x² + xy)dy = %3D

A: Note that this equation is in fact homogeneous .But let us use the technique of exact and nonexact…

Q: (4xy + 3y²)dx + x(x + 2y)dy = 0 3. %3D

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Q: x² x dy +y=- 3 dx 3.

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Q: - 2xy) dx + 3x? dy = 0; when x = 2, y = 1. %3D %3D

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Q: y-dx + (x2 + 3xy+ 4y²) dy = 0, when x = 2, y=1

A: Explanation of the answer is as follows

Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

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Q: 2xy - 10y -x + 5 y - 6 xy + 5y + 2x + 10 -dx +- 0 %3D 2.x + 3

A: Separable Differential Equations: A separable differential equation is an equation that can be…

Q: x(3xy – 4y + 6)dx + (x – 6x yt – 1)dy = 0, when x = 2, y = 0

A: The given differential equation is x3xy-4y3+6dx+x3-6x2y2-1dy=0Or3x2y-4xy3+6xdx+x3-6x2y2-1dy=0 It is…

Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

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Q: (3x+2y+7)dx + (2x-y)dy=0

A: Given differential equation .3x+2y+7 dx+2x-ydy=0We have to solve the differential equation .

Q: d²y 2x(1-x)+(5-7x)-3y=0 dx dy dx

A: To obtain the power series solution of the second order differential equation, use the following…

Q: dy if y = Find dx et %3D 4x2-3x+2

A: Differential of function

Q: (6xy-y") dx+ (4y +3x - 3y*) dy = 0 (a)

A: Given:-(a) 6xy-y3dx+4y+3x2-3xy2dy=0

Q: Find the particular solution: (y4 – 2xy) dx + 3.x² dy = 0; when x = 2, y = 1 %3D

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Q: (6xy - 3y² + 2y)dx + 2(x − y)dy = 0; when x = 0, y = 2

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Q: @[² (d) √x-x (x² + y²)³/2 dy dx.

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Q: Find the first and second derivatives. -3 y = 5x - 11x -8x dy dx d°y dx? %3D

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Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

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Q: ( 3x³ - xy² 2 3xy+y dy 3 dx = 1 |

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Q: y= In]3x+2)²/2x–1 dy 1. Find dx

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

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Q: (2xy – 3x²) dx + (x² + y) dy = 0 (x? + у) dy %3D 0 -

A: This is a problem related to differential equation. Based on the general formula we will solve the…

Q: d²y dy + 3x+y = 4sin (In(x)) dx²

A: Given Euler differential equation is: x2y''+3xy'+y=4sin(ln(x)) Let us take x=ez Replace:…

Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

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Q: 3x²y dx − (x³ + y³)dy = 0, y(1) = −2 -

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Q: G3-y²sinx+303")dx+ (3xy² + 2ycosx + )dy = 0

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Q: (x-2y++)dx + ( 2xーy+2) dy =o 2. ー1

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Q: (у? — Зу— х) dx + (2y — 3) dy 3D 0 | -

A: To solve the differential equation of the form M(x,y) dx+N(x,y) dy=0 then firstly determine ∂M∂y,…

Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: (x³ + y³) dx - 3xy² dy = 0; when x = 1, y = -1

A: The given differential equation is in the form  Mdx + Ndy = 0 x3+y3dx-3xy2dy=0 where M = x3+y3 and N…

Q: 2. (2xy + 16x +4y + 32) dx + (3xy – 9y – 7x + 21)dy = 0, y(5) = - 6 %3D %3D

A: Given that, the differential equation is .2xy+16x+4y+32dx=3xy-9y-7x+21dy, y5=-6.…

Q: 2 y (y² - 3x² ) dx + x (3y²-x²) dy = 0

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Q: %3D 4x3 dx 2. х3dy + 3x?y dx 3. х3 dy + (3x?у — хе*) dx %3D 0 -

A: These are the first order and first degree DE. Solutions are given below:

Q: (2x° + 2xy² – xy)dx-(x+ 2x°y+ y°)dy = 0

A: We will use the basic knowledge of ordinary differential calculus to answer this question.

Q: Find d^2y/dx^2 for y=2x^3-5/x^2

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Q: Find dy for y= dy= 2 4x + 8 X

A: Given.

Q: (zx" xy') dx-3xy dy 2-

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Q: find d^2y/dx^2 implicitly in terms of y and x  2y^3=3x^4

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Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload…

Q: Find the antiderivate of dx/(x2+4)3/2

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Q: Find dx/dy  if y = 2x2+3/3x-1

A: Given that y = 2x2+3/3x-1 To find Find dx/dy

Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.