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

The solution for (dy)/(dx)+y=e^{6x} is y=(e^{6x})/7+(c_{1})/(e^x)

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

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

y = \frac{e ^{6 x}}{7} + \frac{c _{1}}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = \frac{e ^{6 x}}{7} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{6 x}}{7} + \frac{c _{1}}{e ^{x}}

\frac{d}{d x} (cos^{2} (sin (2 x)))

\frac{d}{d x} ((x^{2} + 1)^{l n (x)})

i = 1 \sum \infty 4 (2)^{i - 1}

\int \frac{ln ( x ) - 2}{x ln ( x ) ( ln ( x ) - 1 )} d x

\int sin (x) ln (x) cos (x) d x

What is the solution for (dy)/(dx)+y=e^{6x} ?
The solution for (dy)/(dx)+y=e^{6x} is y=(e^{6x})/7+(c_{1})/(e^x)