What is the solution for (dy)/(dx)=e^{6x}+12y ?

The solution for (dy)/(dx)=e^{6x}+12y is y=-(e^{6x})/6+c_{1}e^{12x}

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(dy)/(dx)=e^{6x}+12y

\frac{d y}{d x} = e^{6 x} + 12 y

y = - \frac{e ^{6 x}}{6} + c_{1} e^{12 x}

Solution steps

\frac{d y}{d x} = e^{6 x} + 12 y

Solve linear ODE:

y = - \frac{e ^{6 x}}{6} + c_{1} e^{12 x}

y = - \frac{e ^{6 x}}{6} + c_{1} e^{12 x}

What is the solution for (dy)/(dx)=e^{6x}+12y ?
The solution for (dy)/(dx)=e^{6x}+12y is y=-(e^{6x})/6+c_{1}e^{12x}