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Popular >

(dy)/(dx)=6e^{x-y}

Solution

\frac{d y}{d x} = 6 e^{x - y}

Solution

y = ln (6 e^{x} + c_{1})

Solution steps

\frac{d y}{d x} = 6 e^{x - y}

Solve separable ODE:

y = ln (6 e^{x} + c_{1})

y = ln (6 e^{x} + c_{1})

Popular Examples

derivative of sqrt(x^3)+x

\frac{d}{d x} (x^{3} + x)

sum from n=1 to infinity of 1/(n^2+5)

n = 1 \sum \infty \frac{1}{n ^{2} + 5}

integral of 1/(sqrt((4+x^2)))

\int \frac{1}{( 4 + x ^{2} )} d x

derivative of y= 2/3 (x^2+1)^{3/2}derivative of

y = \frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

tangent of y=5xtan(x),\at x=pi tangent of

y = 5 x tan (x), at x = π

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6e^{x-y} ?
The solution for (dy)/(dx)=6e^{x-y} is y=ln(6e^x+c_{1})