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A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the slope of the tangent at that point on the curve.
Example
Consider the curve y = x2 - 3x + 3. The tangent to the curve at the point (2, 1) is shown below.
Figure
Later, after studying differential calculus, we may show that y = 2x - 3 is the tangent at (2, 1). Therefore, the slope of the curve at (2, 1) is 2.
We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku = F(t) It is just a non-homogeneous differential equation and we identify h
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