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Popular >

y^'=y(1-y)

Solution

y^{^{'}} = y (1 - y)

Solution

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

Solution steps

y^{'} (t) = y (1 - y)

Solve separable ODE:

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

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

Popular Examples

derivative of y=e^{4x^2}+1 derivative of

y = e^{4 x^{2}} + 1

tangent of f(x)=tan(x),\at x=1 tangent of

f (x) = tan (x), at x = 1

area 19x,x^2 area

19 x, x^{2}

sum from n=0 to infinity of 1/3 (2/3)^n

n = 0 \sum \infty \frac{1}{3} (\frac{2}{3})^{n}

derivative of y=log_{10}(x)derivative of

y = lo g_{10} (x)

Frequently Asked Questions (FAQ)

What is the solution for y^'=y(1-y) ?
The solution for y^'=y(1-y) is y=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}