What is the solution for (dy)/(dx)+y=e^{4x} ?

The solution for (dy)/(dx)+y=e^{4x} is y=(e^{4x})/5+(c_{1})/(e^x)

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(dy)/(dx)+y=e^{4x}

\frac{d y}{d x} + y = e^{4 x}

y = \frac{e ^{4 x}}{5} + \frac{c _{1}}{e ^{x}}

Solution steps

\frac{d y}{d x} + y = e^{4 x}

Solve linear ODE:

y = \frac{e ^{4 x}}{5} + \frac{c _{1}}{e ^{x}}

y = \frac{e ^{4 x}}{5} + \frac{c _{1}}{e ^{x}}

\frac{d}{d x} (- \frac{2 x + 3}{( x ^{2} + 3 x + 2 ) ^{2}})

x \to 3 lim (3 x - 7)

\frac{1}{x ^{7}}

x \to 0 + lim (e^{x} - (1 + x))

\frac{\partial}{\partial x} (x \cdot arccsc (\frac{x}{2}))

What is the solution for (dy)/(dx)+y=e^{4x} ?
The solution for (dy)/(dx)+y=e^{4x} is y=(e^{4x})/5+(c_{1})/(e^x)