differential equation by variation =e6x 1 6x c₂e + e

Q: solve the differential equation (full procedure) d2y/dx2 = 6/x3- 2x- 8/x-3

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Q: Form the differential equation for the function y = acos(2x + b)

A: By finding first and second derivatives of function we form the required differential equation as…

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: Solve the differential equation dr dr 6-+9x=0; when t=0, x=2 and =0. dr dr2 dr

A: The given differential equation is                             d2xdt2-6dxdt+9x=0  with         when…

Q: differential equations. dy = dr(²yz²+72²)

A: The given differential equation is dy=dx2yx2+7x3x3. We have to find the solution of the differential…

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: 1. Find all singular points of the following differential equations. Classify them as regular…

A: Find all singular points of the following differential equations. Classify them as regular singular…

Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: solution to this differential equation: (x+3y-5)dx - (x-y-1)dy = 0

A: Consider the given equation. (x+3y-5)dx-(x-y-1)dy=0 Further, simplify.…

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: solution to this differential equation: (y3sec2x)dx - (1-2y2tanx)dy = 0

A: The given DE is: y3sec2xdx-(1-2y2tanx)dy=0 So, let  M=y3sec2x, N=-(1-2y2tanx)So, My=3y2sec2x,…

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: dy 4x+xy² dx y-x²y =

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Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: solve the differential equation dy/dx = 4xsec y

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Q: solution to this differential equation: (x5-y2)dx + 2xy dy = 0

A: Given differential equation is x5-y2dx+2xydy=0

Q: Note k is 3. differential equation

A: a) To solve the differential equation dy/dx = kyx using the method of separation of variables, we…