What is the solution for (dy)/(dx)= y/3+3x+7 ?

The solution for (dy)/(dx)= y/3+3x+7 is y=-9x-48+c_{1}e^{x/3}

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(dy)/(dx)= y/3+3x+7

\frac{d y}{d x} = \frac{y}{3} + 3 x + 7

y = - 9 x - 48 + c_{1} e^{\frac{x}{3}}

Solution steps

\frac{d y}{d x} = \frac{y}{3} + 3 x + 7

Solve linear ODE:

y = - 9 x - 48 + c_{1} e^{\frac{x}{3}}

y = - 9 x - 48 + c_{1} e^{\frac{x}{3}}

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What is the solution for (dy)/(dx)= y/3+3x+7 ?
The solution for (dy)/(dx)= y/3+3x+7 is y=-9x-48+c_{1}e^{x/3}