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writing sin3a.cos3a = sin3a.cos2a.cosa= sin3a.(1-sin2a).cosaput sin a as then cos a da = dt integral(t3(1-t2).dt= integral of t3- t5 dt= t4/4-t6/6 + c where t = sina
Limit Properties : The time has almost come for us to in fact compute some limits. Though, before we do that we will require some properties of limits which will make our lif
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Now that we've found some of the fundamentals out of the way for systems of differential equations it's time to start thinking about how to solve a system of differential equations
Prove that if x is a real number then [2x] = [x] + [x + ½ ] Ans: Let us consider x be any real number. It comprises two parts: integer and fraction. With no loss of
1.Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ? 2.Find the normalized differential equation which has {x, xex} as its fundamental set. 3.6Find the general soluti
Frederick bought six books which cost d dollars each. What is the total cost of the books? Frederick would multiply the number of books, 6, through how much each one costs, d.
cos^2(A)x sin(A)
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