SOLVE THE FOLLOWING DIFFERENTIAL EQUATION BY THE METHOD OF VARIATION OF PARAMETERS SOLVE STEP BY STEP y" - by²-y=ex

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: dx = 3x + 2y + 4z dt dy = 2x + 2z dt dz = 4x + 2y + 3z dt

A: Consider the given system of equations, dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z In the matrix form it…

Q: Solve the following differential equations: 1. y(lnx - In y) dx = (x ln x - x ln y - y) dy

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Q: xdy − ydx + x³dx = 0

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Q: dy 1. tanxsin2y = sin²x + cos²y - dx

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Q: 3y"-Gy'+6y by = = e sec x

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Q: dy 2xy dx 1+x² =

A: Sol:- dydx=2xy1+x2A first order separable ODE has the form of Ny·y'=MxSubstitute dydx with y' y'…

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: d³u 2 dr5 d*u - 7- dr4 + 12 d³u dr3

A: The differential equation is given 2d5udr5-7d4udr4+12d3udr3+8d2udr2=0. Here ,s=ddr then equation…

Q: 0 0 6. X' =0 3 1 X -1

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Q: -3z y" + 6y' + 9y = for a> 0.

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Q: d²y dx² 3 7 + 3y (dy) 2 + y ² (dy) ² 3 0 = 5x

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Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

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Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: dy 4x+xy² dx y-x²y =

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Q: 4. t dv + (v – v² ln t)dt = 0

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Q: Determine the domain of the function as a solution to the differential equati

A: As the function y=tan(x) has a domain  , one may assume the question is concern only in