Express the non linear equation in its linear form;
y=nx^(1/2)+kx
To express the non-linear equation y = nx^(1/2) + kx in its linear form, we need to eliminate the non-linear term (nx^(1/2)).
Let's denote u = x^(1/2), which means u raised to the power of 2 is equal to x. Substitute u into the equation:
y = nu + ku^2
Now, we have a quadratic equation in terms of u, which we can rewrite as:
y = ku^2 + nu
This equation is now in a linear form since both the u term and the u^2 term have coefficients (k and n) that are constants.
Therefore, we have expressed the non-linear equation y = nx^(1/2) + kx in its linear form as y = ku^2 + nu.