Solve (x² y³ + xy² + y) dx + (x³ y² – x² y + x)dy = 0.

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: 17x-6 - dx x² -x² - 6x 2.

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Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: y = vx + 2(2x³ – 4)

A: Given :            y = x + 2(2x3 - 4)   To differentiate the above equation.   Formula : 1)…

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: SOLVE

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Q: y = (1– 2x) ;y" ¡y"

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Q: dx J x* – 1

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Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

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Q: Solve: (xy – 1) dx + (x² - xy) dy = 0 %D |

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Q: Solve the equation x*ydx +(y-x² )dy = 0.

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Q: = 4 y = 2x – 1 :-y

A: Topic - linear equation In two Variables

Q: Solve: (пу? + 3у?) dy 2.xdx = 0.

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

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Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

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Q: 8. (D2- 2D+ 1)y = xlnx

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Q: xdy = (y - Vx² + y²) dx

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Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: solve (D2+1)y=sinxsin2x

A:

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: Solve y" +3y' + 2y = 0

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Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

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Q: -5/2 y?-2y 4. -/2 - 2y 1/2

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve for the particular solution: (D2 - 5D + 6y) = 6x²-4x+9. O yp= -(1/6)x^2-x-2/3 O yp = x^2+x+2 O…

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Q: Fl)=3x"-7 and glx)=3x+18 -whatig Cg-f)(-3) what is or

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Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

A:

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.