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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\int x^{3} + x^{\frac{1}{3}} d x

\int 5 sin^{3} (2 x co) s^{3} 2 x d x

y^{^{''}} + 4 y = 4 sin (2 t)

y = \frac{x}{( 1 + x ^{2} )}

y = \frac{2}{3} x^{3} - \frac{3}{4 x ^{2}}

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