What is the solution for (dy}{dx}=\frac{(x+y))/6 ?

The solution for (dy}{dx}=\frac{(x+y))/6 is y=-x-6+c_{1}e^{x/6}

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(dy}{dx}=\frac{(x+y))/6

\frac{d y}{d x} = \frac{( x + y )}{6}

y = - x - 6 + c_{1} e^{\frac{x}{6}}

Solution steps

\frac{d y}{d x} = \frac{( x + y )}{6}

Solve linear ODE:

y = - x - 6 + c_{1} e^{\frac{x}{6}}

y = - x - 6 + c_{1} e^{\frac{x}{6}}

What is the solution for (dy}{dx}=\frac{(x+y))/6 ?
The solution for (dy}{dx}=\frac{(x+y))/6 is y=-x-6+c_{1}e^{x/6}