2. (x+2y-1)dx - (2x + y - 5)dy = 0

Q: x² y' - 2lnx - e2y+4(Inx)/x = 0

A: Given: The given differential equation is x2y'-2lnx-e2y+4lnxx=0

Q: "-y = x e* Cos?x

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Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

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Q: (x + 1) + y = lnx, y(1) = 10 dy dx

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

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Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

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Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

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Q: 1 -1 cost e' sint X' = X+ Use the method of Variation of Parameters. 1

A: we have, X'=1-111X+costsintet Consider the matrix A=1-111 and ft=etcostetsint First, solve the…

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: (d) (x2 + y²) dx – 2xydy = 0 (e) y' + 2xy = 10x (f) (y – 1) sin xdx – dy = 0 -

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Q: 5.Solve the linear differential equation for general solution

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Q: 1 1 7. The system X' = 0 2 3 X+ -2 4t e Use the method of Undetermined Coefficients. 0 0 5 2

A: The given System: X'=111023005X+1-22e4t     →    eqn 1 Where X is a general solution of the system.…

Q: y(3) + y" – 2y = xe¬*

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Q: Find the general solution of the differential equation.

A: According to the given information it is required to solve the given differential equation:…

Q: 7.Solve the linear differential equation for general solution

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Q: 6.Solve the linear differential equation for general solution

A: Let, The characteristic equation of the given differential equation is,…