Year 12 Maths Extension 1 (2027)
Further applications of calculus
Solve dy/dx = g(y)
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Question 1
182879
To solve \(\dfrac{dy}{dx}=g(y)\) by separation of variables, you integrate:
\(\displaystyle\int\dfrac{1}{g(y)}\,dy=\int dx\)
\(\displaystyle\int g(y)\,dy=\int dx\)
\(\displaystyle\int g(y)\,dx=\int dy\)
\(\displaystyle\int dy=\int g(y)\,dx\)
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