You want to solve xx = c x x = c, for some number c c. The answer x x cannot be expressed in terms of the common functions — polynomials, trigonometric functions, exponential, etc. — but you can express it in terms of another function that has been studied and given a name.
In school we are taught how to solve equations such as x2 − 1 = 0 or sin(x) − 1 = 0. Solutions to these equations are quite simple. For example x = 1 and x = − 1 are the solutions to the first equation. One could say that solving equation f(x) = 0 is same as finding the values of x that satisfy the equation.
Solve recurrence $T(n) = T(n − 1) 2n 1$ I have this recurrence to solve. I have found a formula using expanded recursion tree but I am having a hard time ...
and getting them clarified. If you're told complex, you can think in terms of "this is a cubic equation, it can have two complex solutions and one real, to solve cubics with one known solution you divide by (x− (x known solution) and apply the quadratic formula to the quotient." There are other ways to think about finding the complex roots ...
How to solve x 3 = − 1? Ask Question Asked 13 years, 4 months ago Modified 3 years, 4 months ago
Second, use separation of variable to solve it. Actually, c1 c 1 depends on which characteristic line we are studying. Therefore, ec1 e c 1 can be seen as a constant depending on c0 = by − ax c 0 = b y a x, written as F(by − ax) F (b y a x). Substitute r r with r = y b r = y b we got the solution u =e−c byF(bx − ay) u = e c b y F (b x a y).
$x^x = 100$. I have no clue on how to solve this. If you guys have, please show me your solution as well.
How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago
How to solve function equations? Ask Question Asked 7 years, 6 months ago Modified 7 years, 6 months ago
Similarly subtracting the first two allows you to eliminate B B You will then have two equations in two unknowns, and again can solve one equation for one unknown in terms of the other. This is a standard technique for simultaneous equations, which works very well with this set because of the structure.
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