Q5: Set False or True to choose correct answer: 20 1) Laplace transform can solve only...
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Q5: Set False or True to choose correct answer: 20 1) Laplace transform can solve only the ordinary differential equation, but not partial differential equation. 2) Two dimensional second order partial differential equation need two boundary conditions. 3) Always Sine function is odd while Cosine function is even. 4) Laplace equation and Poisson's equation are an elliptic type equation. 5) The value of second derivative of Bessel function J, (x) in terms of Ja(x) and J;(x) is: x Ja(x) + J(x) 6) The function x=g(x) for f(x)=5-x+log(x)=0, is easy to construct as x=5+Log(x) without problems of convergence. 7) Loplace Transform of Integral of f (t) was corresponding to the Laplace Transform of f (t) divided by s. 8) Il -conditioned system is always accompanied with linear algebraic system. 9) Instability of solution for differential equation can be avoided by using Explicit finite difference scheme. 10) The V4 equals (2), and never becomes (-2). (20 Marks) Q5: Set False or True to choose correct answer: 20 1) Laplace transform can solve only the ordinary differential equation, but not partial differential equation. 2) Two dimensional second order partial differential equation need two boundary conditions. 3) Always Sine function is odd while Cosine function is even. 4) Laplace equation and Poisson's equation are an elliptic type equation. 5) The value of second derivative of Bessel function J, (x) in terms of Ja(x) and J;(x) is: x Ja(x) + J(x) 6) The function x=g(x) for f(x)=5-x+log(x)=0, is easy to construct as x=5+Log(x) without problems of convergence. 7) Loplace Transform of Integral of f (t) was corresponding to the Laplace Transform of f (t) divided by s. 8) Il -conditioned system is always accompanied with linear algebraic system. 9) Instability of solution for differential equation can be avoided by using Explicit finite difference scheme. 10) The V4 equals (2), and never becomes (-2). (20 Marks)
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