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Popular >

y^'=ry(s-y)

Solution

y^{^{'}} = ry (s - y)

Solution

y (s) = \frac{2 e ^{\frac{r s ^{2}}{2}} ( 2 c _{1} - π erfi ( \frac{r s}{2} ) r )}{2 c _{1}^{2} - π erfi ( \frac{r s}{2} ) ^{2} r}

Solution steps

y^{'} (s) = ry (s) (s - y (s))

Solve Bernoulli ODE:

y (s) = \frac{2 e ^{\frac{r s ^{2}}{2}} ( 2 c _{1} - π erfi ( \frac{r s}{2} ) r )}{2 c _{1}^{2} - π erfi ( \frac{r s}{2} ) ^{2} r}

y (s) = \frac{2 e ^{\frac{r s ^{2}}{2}} ( 2 c _{1} - π erfi ( \frac{r s}{2} ) r )}{2 c _{1}^{2} - π erfi ( \frac{r s}{2} ) ^{2} r}

Popular Examples

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\frac{d}{d x} (3^{x^{2}} + 2)

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x \to 3 lim (x^{2} + 4 x - 6)

parity p(x)=xe^{x,x}parity

p (x) = x e^{x, x}

integral of sin^5(3x)

\int sin^{5} (3 x) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=ry(s-y) ?
The solution for y^'=ry(s-y) is