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Popular >

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

Solution

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

Solution

y = - ln (e^{x} - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (e^{x} - c_{1})

y = - ln (e^{x} - c_{1})

Graph

Popular Examples

area y=sqrt(9-x^2),y=0 area

y = 9 - x^{2}, y = 0

derivative of y=(5-x^2)(x^3-3x+2)derivative of

y = (5 - x^{2}) (x^{3} - 3 x + 2)

integral from 1 to 2 of 2x^2

\int_{1}^{2} 2 x^{2} d x

y = cos (5 x)

integral from 0 to 1/3 of arcsin(3y)

\int_{0}^{\frac{1}{3}} arcsin (3 y) d y

Frequently Asked Questions (FAQ)

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