xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

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: y" -8y' + 16 = 0

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Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

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Q: tan x dy +y sin x dr = 0, when x = 0, y = | O y (3- cos 21) = 2 O y (cos 2x O y° (2 – cos 2x) = 1…

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Q: 7.2x dy + y(2 + y²x) dx = 0

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Q: Elimination of Arbitrary Constants Problems: (c)x² + y² + 2ax + 2by + c = 0

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Q: Find the general solution of the differential equation 1 sin r y*y' + y*

A: The given equation is the first order differential equation:   Solve the differential equation by…

Q: xy dx + (y+ 1)e¯*dy=0

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Q: хdу — (у + х? сos(x)) dx — 0

A: First i have written the given differential equation into standard form of first order linearr…

Q: (3x²y² − 3x² )dx+x³ydy−(y² − 1) / dy = 0

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Q: xdy − ydx + x³dx = 0

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Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

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Q: 3y"-Gy'+6y by = = e sec x

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Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: S.lve this separable diff. egly dy+dey= 6X 2x4

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Q: ydy + (xy² – x) dx = 0; when x = 0, y = -1

A: Given:- ydy+(xy2 -x) dx=0 To find:- Particular solution of given differential equation x = 0 , y =-1

Q: y =Cjx +Cze* %3D

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Q: y" – y' - 2y = 4x2

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Q: y" + 6y' +9 = 0

A: To find solution of the differential equation y"+6y'+9y=0

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.