The differential equation whose solution represents the family y = ae3x + bex is given by
None of the above
Solve
y = x +
C.
A curve is drawn to pass through the points given by the following table.
x | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
y | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the x-axis and the lines x = 1, x = 4
7.47 sq units
7.76 sq units
7.78 sq units
7.82 sq units
Which of these methods for numerical integration is also called as parabolic formula?
Simpson's one-third rule
Simpson's three-eighth's rule
Trapezoidal rule
None of the above
Calculate by Trapezoidal rule an approximate value of by taking seven equidistant ordinates
98
97.2
100
115