Homogenous equation of higher order: Find the general solution to the following equation: y ''' + 3y'' - 4y = 0 2y''' - 11y'' + 12y' + 9y = 0

Q: C.1. Give a real general solution to the equation u'''' - 5u''' -6u'' = 0 :

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Q: e equation y-x+6x=18 fill in the steps to write the equation in standard form. %3D PENCIL THIN BLACK…

A: Here we have to write the given in the standard form.

Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

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Q: Find the solution. y'- y = -xyl/2

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Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: Higher Order D.E. -  Homogeneous Equation with Constant Coefficient

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Find a particular solution to the given​ higher-order equation.   y′′′−4y′′+y′+6y=-30t^2+8t+37

A: We have to find a particular solution to the given​ higher-order equation. y′′′ − 4y′′ + y′ + 6y =…

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: 5x−y=125x−y=12 Step 1 of 2 :   Determine the missing coordinate in the ordered pair (−1,?)(−1,?) so…

A: Given 5x-y=12   To Determine the missing coordinate in the ordered pair (−1,?) so that it will…

Q: Solve the diff. equation y'''- y''- y'+y=2e-t+3sint

A: A differential equation that involves y, y' ,y '' ,y''' and variable 't' . The general solution for…

Q: solve for y. 3y = 2y+1

A: 3y=2y+1

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: Which edges shown on the graph to the right are not included in the following path? F. F. D. C, B, A…

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Q: 7. Linear Equation of Order 1: Solve the equation 2 (y – 4x²) dx + xdy = 0

A: The given equation is first order differential equations and can be written is in the firm of dy/dx…

Q: Eliminate the arbitrary constant on the given equation y=( C1+C2x) e2x+ex

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Q: 1/2x+1/3y=6 X-y=2

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Q: Solve this Differetial equation: (x+1)y'' + (x+2) y' = 2x Please provide a complete solution!…

A: x+1y'' +x+2y' =2x