The points and are on the graph of a function that satisfies the differential equation

MATHEMATICS · Numerical · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The points (−1,−1)(-1,-1) and (1,−5)(1,-5) are on the graph of a function y=f(x)y=f(x) that satisfies the differential equation dydx=x2+y\frac{dy}{dx}=x^2+y. Which of the following must be true?

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