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Derivative and Differentiation
The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is denoted by (dy)/(dx) or f (x) and is provided by dividing the change in y variable by the change in x variable.
The derivative or slope or gradient of a line AB connecting points (x,y) and (x+dx, y + dy) is specified by
(Δy)/(Δx) = (change in y)/(change in x)
= (((y + (dy)) - y)/ (((x + (dx)) - x)
Whereas dy is a small change in y and dx is a small change in x variables.
Write down the equation of the line which passes through the points (2, -1, 3) and (1, 4, -3). Write all three forms of the equation of the line. Solution To do the above
y'' + 2y = 2 - e-4t, y(0) = 1 use euler''s method with a step size of 0.2 to find and approximate values of y
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Question: Use Gauss elimination method to solve the following system of equations. -y +3z=4 2x-y-2z= 2 2x-2y+z =6 4x-y-7z= 0
We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di
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