Find the general solution of the given differential equation.  y^(6) +y -0

Q: Determine the type of Differential Equation, then find the solution for it.

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Q: 4x y" - 4y = 2x

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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: Example: Solve the DE y" – (1+ x)y = 0

A: See the attachment.

Q: Solve the differential equation by variation of parameters. 16x y" - 16y= e4x

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Q: Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN…

A: To find- Make an Original Example of "Elimination of Arbitrary Constants"

Q: Solve the Linear Higher Order of differential equation using the formulas below. (D³ – 2D² +…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters

Q: Find an integral formula for the general solution y(t) of the differential equation y''' − 6y'' +…

A: The given differential equation isy'''-6y''+11y'-6y=gt,t∈ℝFind the integra formula for the general…

Q: 1. y-14y- 48y = 0 2. y'-12y + 27y = 0

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Q: (1– x){ - 4xÍ +5y = COSX dy. %3D dx2 lx

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Q: Solve the differential equation. ху" - 2у - х?, х>0

A: We convert the given differential equation into linear differential equation form. See attached file…

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: Solve The Differential Equation Step by Step 4t²x" + (t²+1)x=0

A: Given differential equation is 4t2x''+(t2+1)x=0         (1) Let the solution be x=∑antn+m Then…