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Popular >

(dy)/(dx)=-y(x+1)

Solution

\frac{d y}{d x} = - y (x + 1)

Solution

y = e^{- \frac{x ^{2}}{2} - x + c_{1}}

Solution steps

\frac{d y}{d x} = - y (x + 1)

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2} - x + c_{1}}

y = e^{- \frac{x ^{2}}{2} - x + c_{1}}

Popular Examples

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limit as x approaches 3 of (1/3 sqrt(x)-sqrt(1/3))/(x-3)

x \to 3 lim \frac{\frac{1}{3} x - \frac{1}{3}}{x - 3}

derivative of 8cos(x)derivative of

8 cos (x)

derivative of sqrt(2t+1)derivative of

2 t + 1

limit as x approaches infinity of x^2-25

x \to \infty lim (x^{2} - 25)

Frequently Asked Questions (FAQ)

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