ェ= r?- dy 2x + 2

Q: Use an Integrating Factor to solve the differential equation.

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: x'+z=et; x(0) = 1

A: Take z as constant

Q: 1. By applying the method of undetermined coefficients, find the general solution of the following…

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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 equation d²y dy 2 + 5y = 0 - dx? dx subject to the following…

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

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Q: Solve 4x+ 4x+6y +5 dy dx 3y+2x+4

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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: 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: dy (x – 3x²y). %3 ху? + у dx

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Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

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

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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: - ydx + (x ++xy )dy= 0

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Q: dy 4x+xy² dx y-x²y =

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Q: write the equation as two ordinary differentials for the two variables

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: 4. t dv + (v – v² ln t)dt = 0

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Q: 5. (e* – sin y)dx + cos y dy = 0; when x 0,y = 1/2

A: First we will convert the given differential equation into linear differential equation by…

Q: 8. dy + ()y y dx = x* dx; y(0) = 2 2Vx. %3D

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Q: 2) (3x²y – sin y)dx + x(x² – cos y)dy = 0 |

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