If J(x) satisfies the differential equation xy" + y' + xy = 0 and J(0) 1, then J'' (0) is -/3

Q: (1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a)…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: consider the differential equation x^2 y''-x(x-2)y'+(x+2)y=0 , y1=x is a solution find y2

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Q: y" + 9y' + 7y = e-2t ,t > 0[

A: Using method of Laplace Transform.

Q: Give the degree of the following differential equation  y' - y^2 + y^{(3)} =0

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Q: Identify the linear differential equations. Justify and show work.  1) y''=ex 2) y''= ey 3)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the general solution for a differential equation: y''-y'=x^2+x

A: y''-y'=x2+x

Q: Consider the differential equation (1– v2)y' – ytanx = yv²tanx Which of the following is the linear…

A: Given(1-2) y1 - y tan x = y2 tan x —(I)(1-2) y2- y1 - y1-2 tan x = tan x —(II)Put       y1-2 = u…

Q: y(x) is the solution of the differential equation dy/dx = 4xy^2  when x = 0, y = -1 a) when x =…

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Q: f(x) = Need Help? -/1 Points] f(x)=sin(x), f(0) = 7, f(0) = 4 f(x) = Read It DETAILS LARCALC11…

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Q: Solve the differential equation y''' + 3y''+ 3y'+ y = 2e^−x , y(0) = 1, y'(0) = 2, y''(0) = 0.

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Q: y''+4y=1+x+sinx Find the general solution of the differential equation.

A: Given that y''+4y=1+x+sinx Now take the homogenous equation, y''+4y=0m2+4=0m=±2i Then the cumulative…

Q: What is the solution of the following differential equation that satisfies y (1) = 7 and y '(2) = 3?…

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Q: Show the solution that y=(1+Ce^(x^6))^(-1/6) is the general solution of the differential equation…

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Q: Match the differential equation dy / dx = sin 2x with its slope field.

A: Match the differential equation dy / dx = sin 2x with its slope field.

Q: Find the differential equation whose general equation is y = C₁x + c₂ex. A. (x-1)y" - xy' + y = 0 B.…

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Q: Solve the differential equation for the motion of the spring 384x''+1152x'+864x=0   if x(0)=-2 and…

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Q: у %3D (2х + ylnу)у' ; у(1)%3D1

A: Differential equations

Q: x+y-8 y' = 3x+3y-4

A: We have the equation y'=x+y-83x+3y-4 or dydx=x+y-83x+3y-4 We need to transform this differential…

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

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

Q: Let y(x) be the solution of the differential equation dy * (* 2) = x; y(1) = 0, d = 0 dx then y(2)…

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Q: Please help write the ordinary differential equation below in the form x’=Ax+f

A: Given that the ordinary differential equation is y'''+2y''-4y'+y=5tWe have to write this in the form…

Q: What is the differential equation of the family of parabolas with their vertices and foci on the y –…

A: We need to find differential equation of the family of parabolas with their vertices and foci on y -…