<p>By using the substitution $y=u+3x$, show that the general solution to the differential equation $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{9x-3y+1}{3x-y+1}$ can be expressed as $(y-3x-1)^{2}=4x+B$.</p>

By using the substitution $y=u+3x$, show that the general solution to the differential equation $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{9x-3y+1}{3x-y+1}$ can be expressed as $(y-3x-1)^{2}=4x+B$.

Solving Differential Equations by Separation of Variables

Differential Equations

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

Differential Equations - Solving Differential Equations by Separation of Variables

Differential Equations - Solving Differential Equations by Separation of Variables

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