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Popular >

xy^'=e^{-y}

Solution

x y^{^{'}} = e^{- y}

Solution

y = ln (ln (x) + c_{1})

Solution steps

x y^{'} (x) = e^{- y}

Solve separable ODE:

y = ln (ln (x) + c_{1})

y = ln (ln (x) + c_{1})

Popular Examples

integral of e^{-8x}

\int e^{- 8 x} d x

y^{''}+36y=36sin(6t)

y^{^{''}} + 36 y = 36 sin (6 t)

slope of f(x)=x^4-10x^2+9 slope

f (x) = x^{4} - 10 x^{2} + 9

derivative of 6/(x^2+36)

\frac{d}{d x} (\frac{6}{x ^{2} + 36})

integral of sin^3(x)cos^3(x)

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

Frequently Asked Questions (FAQ)

What is the solution for xy^'=e^{-y} ?
The solution for xy^'=e^{-y} is y=ln(ln(x)+c_{1})