Consider the differential equation y'' + 6y' +9y = 0.

Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

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Q: Consider the differential equation.

A: Solution: The objective is to find r(t)

Q: nd the solution of the differential equation by using variation of Parameters y''' - 3y'' + 3y =…

A: The given problem is to find the solution for the given non homogeneous differential equation using…

Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: y = xy' – 2(y')² + 3

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Q: find the solution of the z'=xz'' - e^z'' differential equation.

A: The differential equation is z'=xz''-ez''                            ......(1) Let dzxdx=vx, which…

Q: 2(2x? + y?)dx – xydy = 0 y = 1; x = 1

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Q: Solve the differential equation using the Green's y" + 16y=-xsin 4x, y')=0, y()=0 function.

A: using Green's Function to Solve the Differential Equation:Given the differential equation: y''(x) +…

Q: Sketch the direction or slope field of the differential equation. Be sure to show any “trends" and…

A: Given differential equation is y'=x-2y+1                   (i) Direction field of the given eq. (i)…

Q: Give the order of the following differential equation (y')³ = y³ + y/"

A: To give the order of the following differential equation,

Q: solve the below differential equation: y''2+y'y'''=(y'/x)2

A: Given the differential equation  y''2+y'y'''=y'x2 To solve this differential equation.

Q: What is the characteristic equation for the differential equation below? y''-5y=0

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Q: y =Cjx +Cze* %3D

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Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…