dy 2y sin 3t equation dt (a) Solve the differential by using Linear differential equation method. [2.5 Marks] (b) Check whether the given differential equation is exact or not. (2x y+4x-12xy +3y - xe' +e*) dy+(12x*y+ 2.xy +4x -4y' +2ye -e' )dx=0 If yes, then find the exact solution of the differential equation. [2.5 Marks]

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

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Q: Determine whether the differential equation (8x² − 2xy + 6) dx + (2y² − x² + 8) dy = 0 is exact. If…

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Q: solution to this differential equation: (2x+y-4)dx + (x-3y+12)dy = 0

A: Given differential equation is: 2x+y-4dx+x-3y+12dy=0 We can rewrite this equation as follows:…

Q: Find the solution of the following differential equation: у" — Зу" + 4у %3D6+ 80сos(2x)

A: The general solution will be the sum of the complementary solution and particular solution.   The…

Q: Given, G+) dæ + (41) dy = 0 is an exact differential equation. Determine the value of A.

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Q: Differential Equation Q:(x² - 21y)dy = (x² – 2xy )dx.

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Q: 2. 2xy dx + (x2 + y2) dy = 0.

A: Given diffrential equation 2xydx+x2+y2dy = 0 dxdy=-x2+y22xy....(1)

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

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

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: Solve Differential equation (x2-2xy)dy=(y²-2xy)dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: differential equation is given. Classify it as an ordinary differential equation (ODE) or a partial…

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Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

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Q: d'x d²x dx + 7x = 3 sin 8t. dt 5. +2. dr3 dt2

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Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

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Q: The complementary function(C.F.) of the differential equation(D – 3)°y=sin 3x is O (ci + c2z +…

A: Solution: The objective is to find the complementary solution of the given differential equation

Q: dy (2x + 5) + 10y = 10(2x + 5) dx

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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.