(2x+1) (xo1) y" +2xy'- 2y =(2x+1)* %3D * Find the second solution if a solution off the homogeneous form of given differential equation is y = (x+1) -" * Show that the solutions dre linear independent. , Find the general solution of the inhomogeneous equation.

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A: Discriminant of PDE of the form A∂2u∂x2+B∂2u∂x∂y+C∂2u∂y2+D∂u∂x+E∂u∂y+Fu=0 is given by  D=B2-4AC…

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Q: Use separation of variables to find any solution to the partial differential equation uxt-x²e4t

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Q: 4. (D* – 1)y = 0

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A: answer  Y = 9x22+ 3x detailed solution is given below

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Q: y' - y = 2x? 3

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Q: 2. Use variation of parameters to determine the general solution of the nonhomogeneous linear…

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Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

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A: Complete solution of a non homogeneous differential equation is given by as follow.

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Q: A solution of a differential equation that is free of arbitrary parameters is called a/an solution.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.