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2 giorni fa · There are two types of solutions \( (X,Y,Z) \) to the homogeneous equation: if \( Z \ne 0 \), then \( x = X/Z \) and \( y=Y/Z \) give a solution to \( y^2=x^3-1,\) and \( (x:y:1) \) is a point on the projective curve.
1 giorno fa · By Finding A^-1 , Solve The Linear Equation AX=B, Where A = [[3 4 5][1 2 0][5 1 1]] , X =[x y z] & B =[4 -1 5]Matices , Determinants | Engineering Course|| M...
2 giorni fa · In this video, we delve into the world of exponential equations, specifically focusing on finding the value of 'x'. Using clear examples and step-by-step exp...
1 giorno fa · Fermat's equation, x n + y n = z n with positive integer solutions, is an example of a Diophantine equation, named for the 3rd-century Alexandrian mathematician, Diophantus, who studied them and developed methods for the solution of some kinds of Diophantine equations.
2 giorni fa · d2y dt2 + b(x(t))exp{− ∫xx0a(x)dz}y = 0. Example: Reduction to normal form. Transformation 2: if in Eq. (1) the expression b + 2ab b3 / 2 is found to be a constant, then the change of independent variable given by z = C∫√b(x)dx, where C is an arbitrary constant, will reduce equation (1) to an equation with constant coefficients.
5 giorni fa · In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations. In the theory of Lie groups, the matrix exponential gives the exponential map between a matrix Lie algebra and the corresponding Lie group .
2 giorni fa · To specify a particular method, one needs to provide the integer s (the number of stages), and the coefficients aij (for 1 ≤ j < i ≤ s ), bi (for i = 1, 2, ..., s) and ci (for i = 2, 3, ..., s ). The matrix [ aij] is called the Runge–Kutta matrix, while the bi and ci are known as the weights and the nodes. [7]
