Show that the general solution of the equation 4,32.xy°u, = 0 is given by where f is an arbitrary function. Verify by differentiation that u satisfies the original equation.

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Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 3x2 + 5x3= 25 6x1 + 10x2 + 19x3= 81 %3...

A: The solution is given as  

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A: Tessellation Pattern: When 2D shapes which fit perfectly together without any gaps.

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A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1 ddx(x+1...

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Q: (2) Consider the following LPP where a, b e R: maximize AT1 + br2 subject to 3r2 = 6 T1, 12 >0

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Q: Describe the factor group Describe the fa ctor group. (z/(u).)

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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.