Solve the initial–value problem with .

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Solve the initial–value problem dydx=x1−x4\dfrac{dy}{dx}=\dfrac{x}{\sqrt{1-x^{4}}} with y ⁣(12)=0y\!\left(\tfrac{1}{2}\right)=0.

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