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Popular >

(dy)/(dx)=e^{-2y}

Solution

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

Solution

y = \frac{ln ( 2 x + c _{1} )}{2}

Solution steps

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

Solve separable ODE:

y = \frac{ln ( 2 x + c _{1} )}{2}

y = \frac{ln ( 2 x + c _{1} )}{2}

Popular Examples

y^{''}-4y^'+7y=te^t

y^{^{''}} - 4 y^{^{'}} + 7 y = t e^{t}

f(x)=(2xln(x)+x^2-1)/(x-1)

f (x) = \frac{2 x ln ( x ) + x ^{2} - 1}{x - 1}

limit as x approaches 0+of (1+x)^{5/x}

x \to 0 + lim ((1 + x)^{\frac{5}{x}})

(dy)/(dt)=-3(y-4)

\frac{d y}{d t} = - 3 (y - 4)

integral of 5z^3e^z

\int 5 z^{3} e^{z} d z

Frequently Asked Questions (FAQ)

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