Q.1: Determine the roots of the Simultaneous nonlinear equations using Newton- Raphson method for one loop only, takes the initial guesses of x = 1.5 and y = 3.5? u(x, y) = 1² + xy-10-0 v(x, y) = y + 3xy²-57-0

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Q: Obtain the genral solution. (D³ +5D²+7D+3)y=0 y=eX(C₁-C₂x) + С3e-³x + С₂e-³x Oy=eX(C₁+C₂x)…

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A: We use the standard formulas for radius of convergence. The typeset answer is presented below.

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A: According to our guidelines we can answer only one question and rest can be reposted.

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