What is the solution for (dy)/(dx)+7y-2e^{-x}=0 ?

The solution for (dy)/(dx)+7y-2e^{-x}=0 is y= 1/(3e^x)+(c_{1})/(e^{7x)}

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(dy)/(dx)+7y-2e^{-x}=0

\frac{d y}{d x} + 7 y - 2 e^{- x} = 0

y = \frac{1}{3 e ^{x}} + \frac{c _{1}}{e ^{7 x}}

Solution steps

\frac{d y}{d x} + 7 y - 2 e^{- x} = 0

Solve linear ODE:

y = \frac{1}{3 e ^{x}} + \frac{c _{1}}{e ^{7 x}}

y = \frac{1}{3 e ^{x}} + \frac{c _{1}}{e ^{7 x}}

x y^{^{'}} - 2 y = 2 x^{2} ln (x)

\int y - \frac{y}{x ^{2}} e^{\frac{y}{x}} d x

f (x) = (tan (x))^{x}

y^{3} d x + 3 x y^{2} d y = 0

\int \frac{( 2 x ^{2} + 5 )}{x ^{2} + 1} d x

What is the solution for (dy)/(dx)+7y-2e^{-x}=0 ?
The solution for (dy)/(dx)+7y-2e^{-x}=0 is y= 1/(3e^x)+(c_{1})/(e^{7x)}