dy 10x2 %3D dx Vi + x³

Q: x² y' - 2lnx - e2y+4(Inx)/x = 0

A: Given: The given differential equation is x2y'-2lnx-e2y+4lnxx=0

Q: y" -8y' + 16 = 0

A:

Q: "-y = x e* Cos?x

A:

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

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Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

A:

Q: Exercise 2. Find the general solution for the following differential equations: (1) y' + ay = ebt,…

A: Solution: The objective is to find the general solutions of the given differential equations

Q: xdy − ydx + x³dx = 0

A:

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

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

A:

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

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

Q: (d) (x2 + y²) dx – 2xydy = 0 (e) y' + 2xy = 10x (f) (y – 1) sin xdx – dy = 0 -

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Q: y(3) + y" – 2y = xe¬*

A:

Q: Find the general solution of the differential equation.

A: According to the given information it is required to solve the given differential equation:…

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.