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Find out a series solution for the following differential equation about x 0 = 0 y′′ + y = 0. Solution Note that in this case p(x)=1 and therefore every point is an or
Mathematical Formulae (a + b) 2 = a 2 + b 2 + 2ab (a - b) 2 = a 2 + b 2 - 2ab (a + b) 2 +
Vector Form of the Equation of a Line We have, → r = → r 0 + t → v = (x 0 ,y 0 ,z 0 ) + t (a, b, c) This is known as the vector form of the equation of a line. The lo
for all real numbers x, x 0
Logarithmic functions have the following general properties If y = log a x, a > 0 and a ≠1, then The domain of the function
Solution : We'll require the first and second derivative to do that. y'(x) = -3/2x -5/2 y''(x) = 15/4x -7/2 Plug these and also the funct
Non Linear Relationships If the correlation coefficient and the scatter diagram do not indicate linear relationship, then the relationship may be nonlinear. Two such relations
After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r
what is 2+10000 =
Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that
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