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Popular >

(dy)/(dx)=2e^{x-y}

Solution

\frac{d y}{d x} = 2 e^{x - y}

Solution

y = ln (2 e^{x} + c_{1})

Solution steps

\frac{d y}{d x} = 2 e^{x - y}

Solve separable ODE:

y = ln (2 e^{x} + c_{1})

y = ln (2 e^{x} + c_{1})

Popular Examples

integral of (x^3)/(x^4-x^2+2)

\int \frac{x ^{3}}{x ^{4} - x ^{2} + 2} d x

derivative of f(x)=(3x+7)e^x derivative of

f (x) = (3 x + 7) e^{x}

derivative of sqrt(x^2+10)derivative of

x^{2} + 10

derivative of 1.394(1.006^x)

\frac{d}{d x} (1.394 (1.006)^{x})

integral of 1/((x^2-196)^{3/2)}

\int \frac{1}{( x ^{2} - 196 ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

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