What is the solution for (dy)/(dx)+3y=e^{3x} ?

The solution for (dy)/(dx)+3y=e^{3x} is y=(e^{3x})/6+(c_{1})/(e^{3x)}

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(dy)/(dx)+3y=e^{3x}

\frac{d y}{d x} + 3 y = e^{3 x}

y = \frac{e ^{3 x}}{6} + \frac{c _{1}}{e ^{3 x}}

Solution steps

\frac{d y}{d x} + 3 y = e^{3 x}

Solve linear ODE:

y = \frac{e ^{3 x}}{6} + \frac{c _{1}}{e ^{3 x}}

y = \frac{e ^{3 x}}{6} + \frac{c _{1}}{e ^{3 x}}

(3^{2 x})^{^{'}}

d er i v a t i v e (x - 2)^{4}

\frac{\partial}{\partial x} (e^{- 4 x^{2} - 3 y^{2}})

d er i v a t i v e 5 sec (5 x)

\frac{d}{d x} (ln (5 x + 4))

What is the solution for (dy)/(dx)+3y=e^{3x} ?
The solution for (dy)/(dx)+3y=e^{3x} is y=(e^{3x})/6+(c_{1})/(e^{3x)}