Solve the differential equation 2xy -(y+x)(y-x)%3D0 dx

Q: Solve the differential equation (x+y)y'-y=0

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Q: a) Solve differential equation dx (y² – 4)(x – 1) = (x + 1): dy

A: Solution of the problem is given in the next step.

Q: solve the differential equation 2y' - y = xex/2

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Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: Solve the differential equation  (2x-y+1)dx+(2y-x-1)dy=0

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Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: Solve the differential equation y'-(1+ x)(1+ y²) = 0

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Q: x² y – Y y/ = y +1

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Q: Solve the differential equation y'- xe"+y = 0

A: Given query is to find the solution of differential equation.

Q: Solve the differential equation y' - 4xy = x

A: We have to solve the following differential equation -  y' - 4xy = x⇒ dydx - 4xy = x

Q: Solve the differential equation: (x -1)dy - (y+2)dx = 0

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Q: Solve the differential equation. -3xy )dx+: *+xi-x* dy=0

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Q: Solve the differential equation y'-(1+ x)(1+ y²)= 0

A: To solve given differential equation first we solve for separating the variables then taking…

Q: Solve the differential equation y′′ - 3y′ + 2y = ex - e2x

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Q: solve the differential equation y"(x) +y'(x)-2y(x)=0

A: We have to solve the given ODE.

Q: Solve the differential equation (x2y-2xy2)dx=(x3-3x2y)dy

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Q: x*y' = -x³y – csc (xy).

A: To solve the below differential equation. x4y'=−x3y−cscxy

Q: y' = 2x – 3xy

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Q: solve the differential equation 2x2 dx - 3√y csc x dy = 0

A: 2x2 dx-3ycscx dy=0 On simplification, we get ⇒2x2 dx=3ycscx dy⇒2x2cscx dx=3y dy⇒2x2sinx dx=3y dy…

Q: Solve the differential equation x² 2 ay = e - x. |3D dx

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Q: Solve the differential equation  P3x-p2-y+1=0

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Q: solve the differential equation 2) 2x² dy dx csc (X)

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Q: Solve the differential equation. (x² + 15)y' = xy

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Q: Solve differential equation  (3xy+y2)dx +(x2+xy)dy=0

A: Topic-differential equation

Q: Solve the differential equation 2xy (y+x)(y-x)%3D0 dy dx

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Q: Solve the differential equation: y'' - 9y = e3tsin(t)

A: Recall: If the roots m1,m2,...,mn of the Auxiliary equations are real and distince then its…

Q: Solve the differential equation. (y2 +x y2) y'   =  1

A: First separate the variables in the given differential equation.…

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

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Q: Solve the Linear differential equation x+4y = 7x. dx

A: I have used linear differential equation method.

Q: Solve the differential equation y" - 4y' + 4y% =

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Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

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Q: y'- 5y = x°e* – xes*

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Q: Solve the differential equation. (2xy3)dx-(1-x2)dy=0

A: We can solve using by separation of variables

Q: y' + xe' = 0

A: It is known that, if we have a differential equation then, isolate x on one side and isolate all the…

Q: d²y dx2 +y = csc x

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Q: Solve the differential equation: (x - 3) dx + 2 (x + y + 2) dy = 0

A: given that…

Q: solve the differential equation x^2dy/dx-y=2x^3e^-1/x

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Q: Solve the differential equation

A: the given differential equation is: xy'=y-x1+ex-yx   the differential equation can be written as…

Q: Solve the differential equation y2 dy/dx = 3x2y3 - 6x2

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Q: Solve the differential equation. (ア+w)a-rの-0

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Q: Solve the differential equation: y(2x3-x2y+y3)dx - x(2x3+y3)dy = 0

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Q: Solve the Differential Equation. 1. dy/dx=y-xy3e-2x

A: The differential equation is given as , dydx=y-xy3e-2x

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: Solve the differential equation: y" - 4y' = 0.

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Q: Solve the differential equation (1 + x3)dx - x2ydy = 0

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Q: Solve the differential equation: (3x2y3ex+y3+y2)dx+(x2y3ex-xy)dy=0

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Q: Solve the differential equation: (D² + 1)y = tan x

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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.