1) Solve the following initial value problem and find the interval of validity of the solution: $$xy^{\prime}-3y=x^3,\quad y(1)=2.$$

Find the removable discontinuity of the equation f(x)=x^2-4x+3over x^2-9. There is also a picture of the equation i added to the question. Please show solving steps.

Use the quadratic formula to solve for x from the equation-(1/4)x^2 + x + 10^-14 = 0Give x in a proper form such that no cancellation error will occur.