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Popular >

(dy)/(dx)+5e^{x+y}=0

Solution

\frac{d y}{d x} + 5 e^{x + y} = 0

Solution

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

Solution steps

\frac{d y}{d x} + 5 e^{x + y} = 0

Solve separable ODE:

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

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

Popular Examples

integral from 1 to 2 of (2x^2)-(2x+6)

\int_{1}^{2} (2 x^{2}) - (2 x + 6) d x

tangent of (x^2-1)/(x^2+x+1)(1)tangent of

\frac{x ^{2} - 1}{x ^{2} + x + 1} (1)

integral from-pi/4 to pi/4 of x^2

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{2} d x

integral of 1/(sqrt(9x^2-6x+5))

\int \frac{1}{9 x ^{2} - 6 x + 5} d x

integral of (9-162x)/(sqrt(4-81x^2))

\int \frac{9 - 162 x}{4 - 81 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+5e^{x+y}=0 ?
The solution for (dy)/(dx)+5e^{x+y}=0 is y=-ln(5e^x-c_{1})