Find the equation of curve if the slope

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Find the equation of curve if the slope of the tangent is given by 2x/y².

Options:

x³ = -3y²

y³ = - 3x²

x³ = 3y²

y³ = 3x²

Correct Answer:

y³ = 3x²

Explanation:

put dy/dx = 2x/y²

and integrate to get : y³ = 3x²+ C