Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ + c₂x + c₂e²x Oy" + 8y" + 7y' = 0 Oy""8y" + 7y' = 0 Oy"" - 7y" = 0 Oy"" + 7y" = 0 Oy"" + 7y¹ = 0

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A: Given 2y=xy'3-y'2+1

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A: To find the differential equation of family of parabola with their vertices and foci on y axis.

Q: Match the solution curve with one of the differential equations. f Ala Oy"+y=0 y" - 4y' - Sy=0 Oy" +…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Which of the following is the transformed form of the 2y = x(y')³ – (y')² +1 differential equation…

A: We have 2y=xy'3-y'2+1 Now , differentiate both sides with respect to x:…

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A: Given general solution of the equation y=C1e-4x+C2e-2x

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: We have to find the homogeneous linear differential equation with constant coefficients whose…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: (1) let the differential equation be y''-8y'-15y=0 auxillary equation D2-8D-15y=0 now, ⇒m2-8m-15=0…

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A: From the given solution curve we see that the curve is periodic with a period of 2π.

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Q: SHOW COMPLETE SOLUTION PLS. Show that y=ex(1+x) is a solution of the differential equation…

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Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: + 3yx – e = 0 %3D dy + xy = x* dx y" + ye = 0 2. dy + y sin x = 4x dx yy -2x = cos x

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Q: Find a homogeneous linear differential equation with cons y = C₁ + c2x + c3e4x y"" - 5y" + 4y' = 0…

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Q: Match the solution curve with one of the differential equations. x y"- 7y' +12y = 0 Ⓒy" + 4y = 0 Ⓒy"…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: y" — 5y" — 14y' = (2x - 1)e-29+ s

A: y"-5y"-14y'=(2x-1)e-2x-9+sin7x -4y"-14y'=(2x-1)e -2x -9+sin7x

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Q: Consider the differential equation x2y" - 9xy' + 24y = 0; x4, x6, (0, ∞). Verify that the given…

A: Consider the differential equationGiven function ThenIf the y1 is the solution, it must satisfy the…