Solve the following problems. Show the complete solution. At what points in the cubic function ? = ?3 + 2?2 − 4? − 8 have horizontal tangent lines?

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

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: Solve the following D.E 3) у" — Зу %3D 0

A: Given:    yy''-3y=0    solve the differntial equation.Concept:- D.E can be solving by writing…

Q: H-w:- Solve for y"=-3 sing X= 0.1 the L.U.P y (o) = TI Y'67=1

A: We need to solve the differential equation: y''=-8siny given the initial conditions: y0=π4,  y'0=1.

Q: From a lighthouse, ship A is at a distance of 6 √5 miles and on a bearing of 040° and ship B is at a…

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Q: Solve for the following problems using substitution suggested by the equation. (3siny – 5x)dx +…

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Q: Solve the following aifferen tial equations |. x* dy = (4x* +5xy +y*) dx 2 2x + y X -24 2. dy dx

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Q: .Solve the following D. E y" + y' – 2y = x³ +x

A: y"+y'-2x=x³+x

Q: x(2y – 3)dx + (x2 + 1)dy = 0

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Q: y²dy = x(xdy – ydx)ey

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Q: Solve the following SLP y" + ly = 0 y(0) = y(1) = 0

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Q: dy 1+ e (1-号)

A: Let's find.

Q: Solve the Followings : 1. dy (x + 4)

A: Given: dydx=(x-y)2Solution:dydx=(x+y)2⇒dydx=x2+2xy+y2Now separating x and y terms, we get-y2…

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

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Q: x2 +1 3. xe dy + dx = 0

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Q: dx. 3. Gッ)J

A: Given that  In=∫1eln1xndx,n≥0

Q: Q.2 Solve the following differential equati (4x² + y²) (a) y' =

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Q: dy d. x = y + y³cosx dx

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Q: (D² + 1)y = sec² x csc x X cSC X

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Q: ay - 3y = x*; dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Solve the following equations: (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: (x* + 2у)dx — хӑу xdy

A: Given differential equation : (x4+2y)dx-xdy=0 ⇒xdy=(x4+2y)dx⇒dydx=x3+2xy⇒dydx+y-2x=x3 Which is a…

Q: (-4y + e-3x)dx = 4 dy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use a graphing device to approximate to two decimal places, the solution to the following equation.…

A: To find solution of equation using graphing device

Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: SOLVE QUESTION 11 USING THE QUADRATIC FORMULA. ROUND ANSWERS TO 3 SIGNIFICANT DIGITS IF NECESSARY.…

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Q: solve the given equation below: xy'=4y

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Q: solve the following non-linear equation with secant method xex - cosx = 0

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Q: Solve the following equation y"+y' In|x|

A: Given : Differential Equation : y''+y'=ln|x| To Find : Solution of the differential equation. The…

Q: Show that the equation has exactly one real root. x° + e* = 0 3

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Q: Roughly sketch into the plot the solution that corresponds to m(0) = 0 mg. %3D

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Q: General solution of x dy = (2xe* – y + 6x2) dx

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Q: Solve the following exact equation   (y+ 2xy³) dx+ (1 + 3x²y² + x) dy = 0

A: The given equation is y+2xy3dx+1+3x2y2+xdy=0. The equation is of the form Mx,ydx+Nx,ydy=0 where…

Q: 5. (1+ y² + xy²)dx + (x²y+ y + 2xy)dy = 0

A: The differential equation is given as 1+y2+xy2dx+x2y+y+2xydy=0 Compare it with Mdx+Ndy=0 Here M =…

Q: Describe in words how to solve y = mx + c. What assumptions have you made about the value of m?

A: We can solve the problem by calculating the slope 'm'

Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

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Q: Solve the following non-exact equation: (3x'y + 2xy )dx +(2x'y' -x² )dy =0

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Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: Which of the following is a solution to xy' + y + x*y*e* = 0 ?

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: (1 + x)dy – ydx = 0 %3D

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Q: = + 2xy = f( dy da

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Q: Q/ Solve the DEs: 1-a+yxdx+(1+x)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0

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Q: Solve the following equation to obtain the family of solutions.Show your solution. (2x³-xy²-2y+3)dx…

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Q: (D² + 1)y = sec? x csc x

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Q: FEMD THE EQUATION OF TAMGET LEHE to x5 Vt AMD AT t= 1 VE

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Q: 6. (2ху + x) dx + (x2 + у) dy 3 0

A: the given differential equation is: 2xy+xdx+x2+ydy=0 we have to solve the given differential…

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.