Solve by making the equation into an exact equation. (2 – x - y) dx + (3 +x + y) dy = 0

Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: Find the roots of the equation: d³ y 4. dx3 dy 13 — +бу dx -

A: 4d3ydx3-13dydx+6y=0we have to find the roots of the equation

Q: Solve the equation using homogeneous equation (x - 2y)dx + (2x + y)dy = 0.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: Determine whether the equation is exact. If it is exact, find the solution.  dy/dx=−(Ax−By)/(Bx−Cy)

A: Given differential equation is  dydx=-Ax-ByBx-Cy It can be written as…

Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

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Q: Solve the equation (2xy – 3x^2)dx + (x^2 + y)dy = 0.

A: Please see the answer below

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

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Q: dy 2x+xy dx у2+1

A: we have the differential equation dydx=2x++xyy2+1 or (2x+xy)dx-(y2+1)dy=0 we have to find the…

Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

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

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Q: Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

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Q: Solve the equation dy y + dx ху 3

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Q: identify the substitution equations and solve the solution 2( x–y)dx+dy=0

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Q: Solve the Bernoulli equation. -8 . 3xy'+y=Dy °, x>0

A: Given Bernoulli equation3xy'+y=y-8   , x>0

Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: Choose a non-exact equation and solve. (xy- 2y²)dx - (x² – 3xy)dy=D0 1.

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Q: c). Using an integrating factor solve the equation dy , 4. +y= 3x dx

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Q: (2x - 5y+3)dx = (2xrry-6)dy =o

A: Given  (2x-5y+3) dx - (2x+4y-6) dy = 0 ⇒ (2x-5y+3) dx = (2x+4y-6) dy ⇒ (2x-5y+3)(2x+4y-6) = dydx ⇒…

Q: Test the equation for exactness and solve the equation: (1+ y?)dx + (x²y + y)dy = 0

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Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: Solve the equations and simplify the final answer. 1. (x + y- 1) dx + (2x + 2y +1) dy = 0

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Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: Solve the equation J =dx = ! - 1

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Q: Solve the differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: (2у^2 х - у) dx +xdy %3D0

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Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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Q: (6х — Зу + 2)dx + (у — 2х + 1)dy 3D 0 -

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Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

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Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: ( 3х — у +1) dx- (9х- Зу — 3) dy %3D 0

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Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: Solve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: We have given differential equation is…

Q: Solve the equation. (3xy)dx + (y- 3x®)dy = 0 -

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Q: 3. 2X dy 2. %3D

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Q: Q1- d?y Classify and Solve; dy = 0 dx dx2

A: Given: Differential equation is d2 yd x2 +dydx= 0 To classify and solve above differential equation…

Q: ху + (1+x²) = x-"(1+ x?) 5. dy dx

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Q: Solve the equation (2xy+y)dx + (x²-x)dy=0

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Q: Solve the equation dy /dx = k y

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Q: 2. Solve the equation (y²- 1) dy/dx -3y, given that when x = 13 y-l

A: Hello

Q: Solve the equation. dy dx dx -- dy %3D

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Q: Q1) Solve the following equation with Bern dy X - dx + y = 3x³y3

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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.