What is the solution for x^2-3xy+x(dy)/(dx)=0 ?

The solution for x^2-3xy+x(dy)/(dx)=0 is y=(3x+1)/9+c_{1}e^{3x}

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x^2-3xy+x(dy)/(dx)=0

x^{2} - 3 x y + x \frac{d y}{d x} = 0

y = \frac{3 x + 1}{9} + c_{1} e^{3 x}

Solution steps

x^{2} - 3 x y + x \frac{d y}{d x} = 0

Solve linear ODE:

y = \frac{3 x + 1}{9} + c_{1} e^{3 x}

y = \frac{3 x + 1}{9} + c_{1} e^{3 x}

x \to 2 lim (\frac{2 - x}{x - 2})

f (x) = - 4 cos (2 x)

\frac{\partial}{\partial x} (5 x - 6 y + z)

\int ln (1 - x) d x

\int \frac{4 x ^{2}}{( 16 + x ^{2} ) ^{2}} d x

What is the solution for x^2-3xy+x(dy)/(dx)=0 ?
The solution for x^2-3xy+x(dy)/(dx)=0 is y=(3x+1)/9+c_{1}e^{3x}