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

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

A: Differntial equation

Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

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Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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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: 1/ Solve the equation: (3x²+2xy") dx + (2x²y) dy = 0, where y(2) = -3

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

A: given differential equation  x+ydx+3x+3y-4dy=0 solution let y+x=u differentiate dy=du-dx…

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: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: Find the general solution of the given Attached equation

A: Given: differential equation, To solve the differential equation first, substitute

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

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Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Solve the equation dy a - x- = a dx dy + dx

A: The given differential equation is a - xdydx = ay2+dydx.First, we will simplify this.a - xdydx =…

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 for linear but not homogenous equation and find the general solution of each of the following:…

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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: dx -dy = 0 4. Solve

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Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: Obtain the general solution to the equation. dy y + 2x + 1 dx X The general solution is y(x)=,…

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

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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: Obtain the general solution to the equation. (x² +19) dy dx + xy - 2x = 0 The general solution is…

A: Using integrating factor method

Q: dy 2y+3\2 dx 4x+5. ||

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Q: 4. Solve dx - dy = 0 xy-1 xay

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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 Bernoulli equation dy x+y = -2x“y* dx

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Q: The solution of (xy – ) = y³e-x² dx

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

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

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Q: 4. Solve dx - dy = xy-1 1 o = áp-

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Q: Obtain the general solution to the equation. dy + 9x +8 - dx The general solution is y(x) = ,…

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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: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

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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 exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: dy/dx = y-x-1+(x-y+2)-1  find the general solution of the diffrential equation

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Q: Prove that the equation below is a homogenous one and solve for its equation. 3(3x2 + y?) dx – 2xy…

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Q: y dx + (3x – xy + 2) dy = 0 -

A: As per the instruction, we will be solving only the first one. For (4),We will solve it by Exact…

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

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

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Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: find the general solution of the given equation. d2y/dx2 - 6 dy/dx + 9y = 0

A: Given: d2ydx2-6dydx+9y=0 Now plug dydx=D ⇒D2-6D+9y=0 Its auxiliary equation is,…

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

A: Hello

Q: Solve the (1+) d x = (b an y -x) dy

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Q: Obtain the general solution to the equation. dx 8 y: + 4x = 9y dy

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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.