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

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

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((((dy)/(dx))-e^{-x}+5))/y =-5

\frac{( ( \frac{d y}{d x} ) - e ^{- x} + 5 )}{y} = - 5

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

Solution steps

\frac{( ( \frac{d y}{d x} ) - e ^{- x} + 5 )}{y} = - 5

Solve linear ODE:

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

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

\frac{d}{d x} (x^{0.3})

\int 2 cos^{2} (3 x) d x

x \to \infty lim (\frac{9}{2})

y = 8^{4^{x^{2}}}

\int \frac{- 9 x ^{2}}{( 3 - 3 x ^{3} ) ^{2}} d x

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