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Popular >

(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}

Popular Examples

(dy)/(dx)=3x^2-7

\frac{d y}{d x} = 3 x^{2} - 7

derivative of 6sqrt(x)-3cos(x)

\frac{d}{d x} (6 x - 3 cos (x))

area x,4x,-x+2 area

x, 4 x, - x + 2

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

\int \frac{1}{25 + 9 x ^{2}} d x

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

\frac{\partial}{\partial x} (3 ln (x^{2} + y^{2}))

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