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$\frac{dy}{dx} = 4x(3y^2 + 10y + 3)$, and find $y$ as a function of $x$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
Knowing that $y = 1$ when $x = 0$, solve the differential equation
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Separate the variables and factorise so that $\dfrac{dy}{(3y+1)(y+3)} = 4x\,dx$, or an equivalent form” …
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