1. Solve: 2 dy (2y + 3) dx 4x + 5,

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: dy 2y - 2xVy dx

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Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve dy 2 dx - dy + 2y = 7 cos x + 5et dx -3-

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: dy will be dx If y = (5x + 1)(2x-1 + In x), then

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Q: Solve for dy y = sec 2x² dx

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Q: Obtain the general solution to the equation. dy y +7x +1 %3D dx

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

Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

Q: - у = 3x-2 4x-5

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Q: Solve: (dy/dx) = [(5y – 2x) /(4x - y )] %3D

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Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

A: Given: ∫23∫-14∫104x2yz-z44dzdydx To find evaluate the given integral. In a triple integral with an…

Q: 4. Solve dx -dy = 0 %3D x²y xy?

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Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: Find dy dx dz 2 9=(z-3 Inax) a = constant

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Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: Solve this DE 1. dy/dx+secx(y-2sec3x+2sec2 xtanx) + y cotx = 0

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Q: The solution of |x 2* dx is

A: To find: ∫ x2xdx

Q: lax +3y-5) dx + (3x-y -

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

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Q: + 2y = 1- x>0 dx

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Q: 2. (бх * у) dx +у (2х - Зу) dy 3 0

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Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: dy 2х-у-3 dx х+у-2

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

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Q: 8. dy V1+ /1+x -1

A: We need to evaluate the following integral ∫-18dy1+1+x

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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Q: Solve dy/dx+y=2

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Q: solve the homogenous equation . (2x-3y)dx+(2y-3x)dy=0

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Q: Solve the D.EXY+Y=1/1/2

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Q: Solve (5 + x²) Y 1 dy dx = x, and verify your solution. *+C Preview

A: Derivative

Q: Solve dy/dx−6y=3 subject to y(2)=2

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Q: 3. (бх + у?)dx + y(2х — Зу)dy

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Q: solve it by direct methode dy/dx = 1/4x2+4x+2

A: The given differential equation is,  dydx=14x2+4x+2 separate the variables, dy=14x2+4x+2dx

Q: Solve the LDE of dy/dx = [1/(1+x3)] – [3x2/(1 + x^3)]y

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Q: what is the general equation to the equation dy dx 2 2 dx²

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

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Q: Solve this: 1- dy dx + 2xy= -2x3

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Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: Solve the equation (2y³ – x³)dx + 3x²ydx = 0. correction to the 2nd term: dy

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Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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Q: Obtain the general solution to the equation. dy - Y + 6x +5 dx

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Q: dy 2 ,? cosx +-y = -x²y dx %3D

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Q: If y = (6x + 7)0.5(2.6x2 - 1.9), what is dy/dx?

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Q: Solve dy/dx +2t tan x=y2

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Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

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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.