Solution of an equation
The determination of all the roots of a given equation is called the solution of the equation..
Particular solution of a differential equation
A solution obtained, by assigning particular values to the arbitrary constants in the general solution of the differential equation, is called its particular solution..
Solution of a differential equation:
A functional relation between x and y which satisfies the given differential equation. Solution of a differential equation by the method of variables separable..
To find the general solution of the following equations
(i) sin q = 0 (ii) tan q = 0 (iii) cos q = 0 (iv) cot q = ..
The slope field of a certain differential equation is shown. Which of ..
The slope field of a certain differential equation is shown. Which of the following is the solution to that differential equation? => y = e - x + C or y = ln x + C or y = - cos x + C or y = e x + C or y = sin x + C..
Which of the equations has - 2 as a solution?
Which of the equations has - 2 as a solution? => 2 x ( x - 10) = 0 or ( x + 2)( x + 10)( x + 17) = 0 or ( x + 12)( x - 2) = 0 or ( x + 10) 2 ( x - 17)..
Cramer's rule for the solution of a system of equations in 2 variables
We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solution..
We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solution..Non Homogenous Equations (Solution by the Matrix Method)
Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..
Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..Methods of completing a square and to derive the formula for the solution of the quadratic equation
There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..
There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..The slope field and graphical solution of a differential equation is s..
The slope field and graphical solution of a differential equation is shown. Which of the following is that differential equation? => d y d x = 1 x 2 + 1 or d y d x = x or d y d x = 1 x or d y d x = 1 x 2 or d y d x = x 2 + 1..
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