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y = 43x3+45‾‾‾‾‾‾‾‾‾‾√4

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Q: The solution to the differential equation dydxx2y3 , where y (3) 3 is?
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What is the Order of a differential equation?

The order of a differential equation is a highest order of derivative in a differential equation. For example, let us assume a differential expression like this. d2y/dx2 + (dy/dx)3 + 8 = 0 In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx. According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.


Does a solution to an equation make the equation true or false?

A solution to an question makes the equation true. For example a solution to the equation 3x = x + 6 is x = 3, since 3(3) = 3+6.


Main points of Legendre differential equation?

The Legendre differential equation is the second-order ordinary differential equation(1)which can be rewritten(2)The above form is a special case of the so-called "associated Legendre differential equation" corresponding to the case . The Legendre differential equation has regular singular points at , 1, and .If the variable is replaced by , then the Legendre differential equation becomes(3)derived below for the associated () case.Since the Legendre differential equation is a second-order ordinary differential equation, it has two linearly independent solutions. A solution which is regular at finite points is called a Legendre function of the first kind, while a solution which is singular at is called a Legendre function of the second kind. If is an integer, the function of the first kind reduces to a polynomial known as theLegendre polynomial.The Legendre differential equation can be solved using the Frobenius method by making a series expansion with ,(4)(5)(6)Plugging in,(7)(8)(9)(10)(11)(12)(13)(14)so each term must vanish and(15)(16)(17)Therefore,(18)(19)(20)(21)(22)so the even solution is(23)Similarly, the odd solution is(24)If is an even integer, the series reduces to a polynomial of degree with only even powers of and the series diverges. If is an odd integer, the series reduces to a polynomial of degree with only odd powers of and the series diverges. The general solution for an integer is then given by the Legendre polynomials(25)(26)where is chosen so as to yield the normalization and is ahypergeometric function.The associated Legendre differential equation is(27)which can be written(28)(Abramowitz and Stegun 1972; Zwillinger 1997, p. 124). The solutions to this equation are called the associated Legendre polynomials (if is an integer), or associated Legendre functions of the first kind (if is not an integer). The complete solution is(29)where is a Legendre function of the second kind.The associated Legendre differential equation is often written in a form obtained by setting . Plugging the identities(30)(31)(32)(33)into (◇) then gives(34)(35)


Does the equation 7x-56x 3 have exactly one solution?

It has no solution because without an equality sign it is not an equation.


What is the solution of 9n 3?

If you mean: 9n = 3 then the value of n is 1/3 which is the solution to the equation


Which equation has solution x -3?

The equation that has the solution x = -3, is, precisely:x = -3 If you want anything more fancy, you can add some number (the same number to both sides), multiply by some number (the same number to both sides), etc.


What is a subtraction equation with the solution of -3?

-2-1=-3


What is the answer to the equation 3 5 9 ----33 65?

It is not an equation and no solution is possible.


What is the difference between a situation and a solution equation?

A situation equation follows the order of the story problem.For instance:Johnny has 8 apples, he eats some, and has 3 left.The situation equation would be: 8 - a = 3A solution equation is the equation that would help you find the solution. Your brain doesn't automatically know what "a" is, it has to rearrange the order of the equation and then solve.The solution equation would be: 8 - 3 = a, then you would solve it.


Why x-3 equals 0 is non homogeneous?

Because homogeneous equations normally refer to differential equations. The one in the question is not a differential equation.


What is y equals -3?

Possibly the solution to an equation


What is the solution of the equation yx³-3?

Without an equality sign the given expression is not an equation