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Popular Calculus >

(dy)/(dx)=10e^{x-y}

Solution

\frac{d y}{d x} = 10 e^{x - y}

Solution

y = ln (10 e^{x} + c_{1})

Solution steps

\frac{d y}{d x} = 10 e^{x - y}

Solve separable ODE:

y = ln (10 e^{x} + c_{1})

y = ln (10 e^{x} + c_{1})

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=10e^{x-y} ?
The solution for (dy)/(dx)=10e^{x-y} is y=ln(10e^x+c_{1})