Question
2 If dy x2 find y as a function of € subjected to conditions y 1 when x = 0. dx (Hint: You have been asked to find the anti derivative (y) of the function f (x) = x subjected to the given initial conditions You know that when finding anti dlerivative. unknown constant is added at the end: Use given conditions to determine what this constant is and hence y.)
2 If dy x2 find y as a function of € subjected to conditions y 1 when x = 0. dx (Hint: You have been asked to find the anti derivative (y) of the function f (x) = x subjected to the given initial conditions You know that when finding anti dlerivative. unknown constant is added at the end: Use given conditions to determine what this constant is and hence y.)


Answers
Given the following equations, evaluate dy/dx. Assume that each equation implicitly defines $y$ as a differentiable function of $x$. $$x^{2}-2 y^{2}-1=0$$
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