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Beliebt Rechnen >

y^'=((1-y)^2)/(x+1),y(0)=5

Lösung

y^{^{'}} = \frac{( 1 - y ) ^{2}}{x + 1}, y (0) = 5

Lösung

y = - \frac{4 ln ( x + 1 )}{- 4 ln ( 1 + x ) + 1} + \frac{5}{- 4 ln ( 1 + x ) + 1}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{4 ln ( x + 1 )}{- 4 ln ( 1 + x ) + 1} + \frac{5}{- 4 ln ( 1 + x ) + 1}

y = - \frac{4 ln ( x + 1 )}{- 4 ln ( 1 + x ) + 1} + \frac{5}{- 4 ln ( 1 + x ) + 1}

Graph

Beliebte Beispiele

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\frac{d}{d x} (ln (ln (sec (x))))

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