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Popular >

y^'=e^{-x}y

Solution

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

Solution

y = e^{- e^{- x} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- e^{- x} + c_{1}}

y = e^{- e^{- x} + c_{1}}

Popular Examples

y^{''}-3y^'-10y=-3x^2e^{-6x}

y^{^{''}} - 3 y^{^{'}} - 10 y = - 3 x^{2} e^{- 6 x}

sum from n=0 to infinity of (-2/5)^n

n = 0 \sum \infty (- \frac{2}{5})^{n}

inverse oflaplace 8/(s^3)inverse laplace

\frac{8}{s ^{3}}

derivative of-4/(sqrt(x))

\frac{d}{d x} (- \frac{4}{x})

limit as x approaches pi/2 of 2tan(x)

x \to \frac{π}{2} lim (2 tan (x))

Frequently Asked Questions (FAQ)

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