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Popular >

(dy)/(dx)=5e^{x-y}

Solution

\frac{d y}{d x} = 5 e^{x - y}

Solution

y = ln (5 e^{x} + c_{1})

Solution steps

\frac{d y}{d x} = 5 e^{x - y}

Solve separable ODE:

y = ln (5 e^{x} + c_{1})

y = ln (5 e^{x} + c_{1})

Popular Examples

integral of 7/(sqrt(x^2-12x+34))

\int \frac{7}{x ^{2} - 12 x + 34} d x

slope of (-4,3),(-2,1)slope

(- 4, 3), (- 2, 1)

limit as x approaches 7-of (9x)/(x-7)

x \to 7 - lim (\frac{9 x}{x - 7})

(\partial)/(\partial x)(tan^2(x))

\frac{\partial}{\partial x} (tan^{2} (x))

derivative of e^{-x}sin(x)derivative of

e^{- x} sin (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5e^{x-y} ?
The solution for (dy)/(dx)=5e^{x-y} is y=ln(5e^x+c_{1})