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The general solution to a differential equation is the most common form which the solution can take and does not take any initial conditions in account.
Illustration 5: y(t) = 3/4 + c/t2is the general solution to
2ty' + 4y = 3.
Solution: I'll leave this to you to check that such function is actually a solution to the specified differential equation. Actually, all solutions to that differential equation will be in that form. It is one of the first differential equations which you will learn how to resolve and you will be capable to verify such function shortly for yourself.
A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs
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1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
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Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place
(3+2)^2+1-3^2.5
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