determine the general solution of the equation. x(y'-x)dx-y(y'+x)dy=0

Q: Find the general solution for differential equation.

A: Derivative of a variable measures the rate of change of it with respect to some other variable. A…

Q: Find the differential equation of dy 2y-y dx X-y

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Q: 2. Solve the differential equation using separation of variables: dy + y² + y = 0 dx

A: The given differential equation is  xdydx+y2+y=0

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 4x2…

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Q: The integrating factor for the differential equation (3xy + y)dx + (x2 + xy)dy 0 is - X Y O - Y O

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

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Q: dy equation dx (6) Solve the Non-homogeneous differential x – y + 12 2т — 2у + 10 - -

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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Q: dy + y = 2y2 solution of differential equation is dx %3D

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Q: Solve the first order linear differential equation + xy = x, y(0) = –6. dx

A: A differential equation is an equation is x,y and derivatives of y. A linear differential equation…

Q: (x + y) (dx + dy) = (dx – dy) solution of this differential equation is |

A: Introduction :

Q: Solve for the equation using homogeneous in differential equation: ( x- y)dx + (3x + y)dy = 0

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Q: (x² - 1) Y +2xy = 1 solution of differential equation is dy %3D | dx

A: Introduction :

Q: 3. dy = (x – 3y)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Md⏟Take 'y'…

Q: (y^2−3−x)dy+ydx=0(y2−3−x)dy+ydx=0 Solve the differential equation using integrating factors by…

A: From the given differential equation: y2-3-xdy+ydx=0 So, we can also write as: y2dy-3dy-xdy+ydx=0

Q: satisfies the differential equation Show that y = x+ Vx' + dy - m°y = 0 + x- dx

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Q: Find the solution of the differential equation tan x dx +tan y dy=0.

A: Here we have to find the solution of the differential equation  tanx dx + tany dy = 0.

Q: find the solution of differential equation 1 + x dy + dx y =

A: we have to find the solution of differential equation: dydx+1+xxy=exx

Q: This differential equation can be solved by? dy dx What is the integrating factor of: y2 dx + xy dy…

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Q: Solve differential equation dy/dx + y^2 = 2/x^2

A: Definition of differential equations helps to solve the given differential equation. An equation is…

Q: 2) Solve the differential equation y(r³ – y)dx – x(x* + y)dy finding an integrating factor.

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Q: differential equation dy/dx=-(x+1) / 2(y+3

A: The question is taken from the calculus in which we have to find the differential equations…

Q: dy Vx ev+Vx¸ x > 0 %3D X dx

A: To Find the seperable differential equation

Q: Find the general solution to the given differential equation. ( Use C for the constant of…

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Q: Determine the integrating factor for the differential equation y dx - x dy = 0. А. 1/х3 В. —2/x2 С.…

A: follow next step

Q: 2ydx+x(x² In y-1)dy=0

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Q: хуdx — (2x? + у?)dy — 0

A: Follow the procedure given below.

Q: dy --y= 2sin 3x dx first-order linear differential equation y(0) = y, find the solution that meets…

A: Consider the provided first order linear differential equation, dydx-y=2sin3x It is in the form…

Q: dy ху- = x³e-*sin x +y? dx

A: Solution of given differential equation can be find as shown below

Q: Find the general solution to the differential equation: (y arcsin(y/r)+)dr- (r arcsin(y/r))dy = 0

A: Let us consider the differential equation dydx=fyx then  to solve the differential eqaution Put y=vx…

Q: Solve the differential equation , where y, is known solution dy = 2x + dx y-2y, Y = x.

A: Given differential equation dydx=2x2+1xy−2y2......1 This equation is a Riccati  equation. Compare…

Q: Solve the differential equation using separation of variables: dy + y* + y = 0 dx

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Q: (1+ y) dx – (1 + x) dy = 0

A: To solve the given differential equation: (1+y)dx-(1+x)dy=0 using the separation of variables.

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: Find the particular solution of the differential equation when x = 2, y = r. %3D y y' = sec y

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Q: differential equation

A: Given D.E is  y(x2+y)dx + x(x2-2y)dy = 0 And we have to find its solution when x= 1, y= 2  Given D.E…

Q: the differential equation (x+y)dy+xdx=o is Homogeneous equation

A: Given: x+ydy+xdx=0

Q: Solve the differential equation - Xtan(y – x) = 1 dy dx

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Q: Determine the equation for y given the differential equation and y=5 when x=0. dy = y sec? x dx

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Q: 50. The integrating factor of the differential equation x dy + (y - x^2) dx = 0 is.

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Q: Solve using non-exact linear differential equation ye^(-2y) dx - (xye^(-2y) + y) dy = 0

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Q: Find the differential equation of y(x-6y) dx-x(2x-9)y dy=0

A: Solution is given below:

Q: Determine order and degree of the differential equation (y")' +(y")' +(y')* + y° =0

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Q: Solve the differential equation 2√xy dy/dx = 1, x, y > 0

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Q: The order and degree of the differential equation 14()(음) + 12음()y= 16 dy dx - dz5 dx are

A: The given differential equation is:

Q: =x+x* +1 satisfies the differential equation (x +1): dy Show that y dx

A: Given the given differential equation is x2+1d2ydx2+xdydx-m2y=0 and the given value is y=x+x2+1m.

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) = %D

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Q: Determine the order of this differential equation: (dy/dx)6 + y + d5 y/dx5 = cos x

A: We need to deetermine the order of the differential equation given by (dy/dx)6 + y + d5 y/dx5 = cos…

Q: siny dx + (x – sin? y)dy=D0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.