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Popular Calculus >

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

Solution

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

Solution

y = - \frac{1}{2 e ^{x}} + c_{1} e^{x}

Solution steps

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

Solve linear ODE:

y = - \frac{1}{2 e ^{x}} + c_{1} e^{x}

y = - \frac{1}{2 e ^{x}} + c_{1} e^{x}

Graph

Popular Examples

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integral of 1/(25+9x^2)

(\partial)/(\partial x)(3ln(x^2+y^2))

derivative of sin(-1(2x+1))

Frequently Asked Questions (FAQ)

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