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junior college 1 | H2 Maths
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Solve the following question
Multiply both sides by 1/x^6,
1/x^6 dy/dx - 6y/x^7 = 2/x^5 + 10/x^7
d/dx (y/x^6) = 2/x^5 + 10/x^7
∫ d/dx (y/x^6) dx = ∫ (2/x^5 + 10/x^7) dx
y/x^6 = 2/((-4)x⁴) + 10/((-6)x^6) + C, C is a constant
y/x^6 = -1/(2x⁴) - 5/(3x^6) + C
y = -½x² - 5/3 + Cx^6
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