y' = e^{y - x}, y(0) = 0 y = \square
when you find the value, you SOLVED the equation. you CHECK the equation when you substitute the value in the variables place and check that the equation is true.
The solution
Replace a value for x, then solve for y, to find the corresponding value for y. Repeat for other values of x.
It depends on the equation.
You haven't given the solution to the equation ! 3x + 20 = ? If you have the number for the question-mark - you can find the value of x ! For example in the equation 3x + 20 = 50... the value of x is 10.
To find ln 2.33, you need a calculator. It is the solution of the equation e^x = 2.33. ln 2.33 = 0.84586 (using a calculator)
To find the value of ( y ) when ( x = 11 ), we can substitute ( x ) with 11 in the equation ( 7x - 9y = 23 ) and solve for ( y ): [ 7(11) - 9y = 23 ] [ 77 - 9y = 23 ] [ -9y = 23 - 77 ] [ -9y = -54 ] [ y = \frac{-54}{-9} ] [ y = 6 ] So, when ( x = 11 ), ( y = 6 ).
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Whether or not that there is a solution to a quadratic equation,
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
just to find the answer. like if it has an x in it then figure out what the x is