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Which of the following is a homogenous differential equation?

• (a)$(4x^2 + 6y + 5)\,dy - (3y^2 + 2x + 4)\,dx = 0$
• (b)$(xy)\,dx - (x^3 + y^3)\,dy = 0$
• (c)$(x^3 + 2y^2)\,dx + 2xy\,dy = 0$
• (d)$y^2\,dx + (x^2 - xy - y^2)\,dy = 0$

Answer

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From ISC 2025 Mathematics Paper 1, question 1(ii).