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

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

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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 (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: solve using bernoulli's equation 2xdy + y(y2lnx-1)dx = 0

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

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Q: Q2: solve the equation dx 2х Vy y * dy 3.

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Q: Solve for the value of C in the equation: (3xy +2y) dx + (2x<y + x) dy = 0 when y(1) = 2.

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: Q2: solve the equation 3 dx 2х * dy y

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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: 4.2(х — у)dx + (3х — у — 1)dy 3 0

A: Let's find.

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

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Q: Determine the solution of the equation using coefficient s linear in two variables metho: (x − 3y +…

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Q: Solve the given by simple substitution (2x + y)² dx - 2dy = 0

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

A: Please see the answer below

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: Find the value of dy/dx when x= 10.74 and y=2.74 for the given equation. y4-y2-2x3-9x =8

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Q: Solve the equation (6x+y2)dx+y(2x−3y)dy=0.

A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: d?y dy - 3- dx Determine the solution of x dx2

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Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: dx -dy = 0 4. Solve

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

A: Variable separable form of differential equation: dydx=f(x)g(y) Apply variable separable to given…

Q: Solve the equation: dy 2y -a²y? sec² (x) dx

A: Given dydx+2yx=-x2y2sec2(x)

Q: Find the value of dy/dx when x= 13.49 and y=3.2 for the given equation. y+3y-3x-5=0

A: We have to find the value of dydx when x=13.49 and y=3.2 for the equation…

Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

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: 4dx + (x — у + 2)?dy %3D 0

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

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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: Find the general solution. dy - 2y +4x3 dx

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Q: Solve the DE 3y2 Y +x-1y3 =x*. dx

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Q: How / Find the solution for the equation @ y√ √ x² + y ² dx = x (x + √x² + y²) dy 1

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

Q: y dx — (х + бу?) dy %3D 0

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

Q: Find the point of intersection and solve the equation (x − 4y − 9)dx + (4x + y − 2)dy = 0

A: The given equation is x-4y-9dx+4x+y-2dy=0. The equation of the straight line are x-4y-9=04x+y-2=0.…

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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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: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Solve the equation (1-y)e + dy

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Q: Q1: solve the equation (y +x )dy + (x - y )dx = 0

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Q: Solve the equation. * (x + 2y – 4) dx – (2x + y– 5) dy = 0

A: (x-y-1)3 = c(x+y-3) is correct option.

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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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.