2r(x + y)dx + (x² + y³)dy = 0. %3D

Q: Xtan+4]dx - xdy= of + y]dx - xdy=0

A: Given differential equation is xtanyx+ydx-xdy=0 This equation can be rewritten as,…

Q: (2xy - 3x²)dx + (x² + y)dy = 0

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Q: ● √3x dy dx √x² + y² So So

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Q: d*y dx + 2- dx d'y d²y dx 0.

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Q: dy 3. + y = e3x dx

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Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: 8. y dx = (3x + y³ – y²) dy; when x=1, y=-1

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Q: (x-y-2)dk t3x ty-1)dy=0

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

A: we only solve one problem at a time so please post your question one by one.

Q: 6. x2 +7 y = 8. dy dx II

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Q: Sv-4 - y-3) dy

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Q: x² x dy +y=- 3 dx 3.

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Q: dy y = (3x2 + x-2)-1; dx

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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

A: We will solve the problem

Q: Find the solution. 2y dx = (x2-1)(dx - dy) %3D

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Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

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Q: 2r-r2 -3 zVx2 + y2 dz dy dx. 0. 0.

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Q: 8. Vx2 + y² dx dy

A: Given integral is ∫03∫09-y2  x2+y2dxdy. Change cartesian in the above integral to polar. ∫03∫09-y2…

Q: dy 3. x. e*y. + y. e*y - 4x3 = 0 dx -

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Q: Solve the differential equation in Exercises

A: Given 17. dydx=2x1-y2 ,   -1<y<1 18. dydx=e2x-yex+y

Q: dx 2. S; x²-4x+5

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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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: (x² + y²)dy dx 7.

A: Given  ∫-22∫04-x2(x2+y2) dydx

Q: 5. (y -x')dx+xydy = 0

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Q: V16-y 1. 16 x2 x dx dy -

A: As per our guidline we cna solve maximum one question , you can re-post other question

Q: dy y 5. Solve dx 5(x-2)y2 %3D (х- 2)

A: We first convert the given differential equation into the linear differential equation, then solve…

Q: y3 (3- e*)* dy dx

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Q: 10. x = Vt-2, d²y y =t2-3' dx2

A: The given question is taken from the derivative and we have to find the derivative of the parametric…

Q: 2) dx dy x²+y² 2хy ||

A: Integrating the given equation.

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

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Q: d²y 1. dx² - dy - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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

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Q: y = (x2 – 4)2(5- 3x). Find dy/dx when x-3.

A: It is given that  y=x2-425-3x. Find dy/dx when x=3

Q: G. (3x ty - 2)dx + (3x ty +4)dy <0

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Q: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: 22 d'y dx² dy 7x- +16y=0 dx

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

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Q: dy y2-8y+5 13-1 dx x2+2x+5

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Q: 3 c2x S *x² dy dx 4.

A: Integral

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

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

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Q: dy -(3tan x)y = 1 dx 2.

A: Given that, The differential equation is following, dydx - (3tanx)y = 1 We have to solve the DE.

Q: (y - 2x - 9) dy = (x + 2y + 7) dx

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Q: .x(3xy-4y3 + 6)dx + (x³ - 6x²y2 - 1)dy = 0, when x = 2, y = 0

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Q: 4y2 dx = 9x2 dy when x = 4, y = -3

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Q: dy_ y+x+4 dx у-х+8

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.