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Initial Condition(s) are a set of conditions, or a condition on the solution which will permit us to find out that solution which we are after. Initial conditions are frequently abbreviated of the form:
y(t0) = y0 and or y(k)(t0) = yk
Thus, we can say, initial conditions are values of the solution or/and its derivative(s) at exact points. As we will notice eventually, solutions to "nice sufficient" differential equations are unique and thus only one solution will meet the specified conditions.
For a specified differential equation the number of initial conditions are needed, will depend on the order of the differential equation as we will notice.
The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides. Ans: APQ x 2 + y 2 = 202 x 2 + y 2 = 400
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What are directional derivatives? Explain with two or more examples..
If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t ) ........................(3) Remem
would like explaination on how to do them
x=+y^2=4
Example: find out the slope of equations and sketch the graph of the line. 2 y - 6x = -2 Solution To get the slope we'll first put this in slope
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Coastal Cable had 1,440,000 customers within January of 2002. During the first half of 2002 the company launched a large advertising campaign. Through the end of 2002 they had 1,80
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