General solution to a differential equation, Mathematics

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.

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