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Beliebt Rechnen >

(dy)/(dx)-y=e^x*y^2

Lösung

\frac{d y}{d x} - y = e^{x} \cdot y^{2}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} - y = e^{x} \cdot y^{2}

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

integral of x/(x+2y)

\int \frac{x}{x + 2 y} d x

(dv)/(dt)=2.1-(7v)/(2180),v(0)=0

\frac{d v}{d t} = 2.1 - \frac{7 v}{2180}, v (0) = 0

tangent f(x)=-2x^3,\at x=2

t an g e n t f (x) = - 2 x^{3}, at x = 2

d/(dz)((z^2)/((z-2i)^2))

\frac{d}{d z} (\frac{z ^{2}}{( z - 2 i ) ^{2}})

derivative of (1+2sin(x)sin(x))

\frac{d}{d x} ((1 + 2 sin (x)) sin (x))