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Beliebt Rechnen >

(dy)/(dx)=((y^2-1))/((x^2-1)),y(0)=1

Lösung

\frac{d y}{d x} = \frac{( y ^{2} - 1 )}{( x ^{2} - 1 )}, y (0) = 1

Lösung

0

Schritte zur Lösung

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

Konstante Funktion ergibt eine Konstante

y (0) = 1

= \frac{1 ^{2} - 1}{x ^{2} - 1}

\frac{1 ^{2} - 1}{x ^{2} - 1} = 0

= 0

Beliebte Beispiele

(\partial)/(\partial x)(4xcos(xy))

\frac{\partial}{\partial x} (4 x cos (x y))

integral of (4+7x)/(1+x^2)

\int \frac{4 + 7 x}{1 + x ^{2}} d x

integral from 0 to 1 of 1/(sqrt(16-x^2))

\int_{0}^{1} \frac{1}{16 - x ^{2}} d x

ydx+sqrt(x^2+1)dy=0

y d x + x^{2} + 1 d y = 0

derivative of (5-3x^2)

\frac{d}{d x} ((5 - 3 x)^{2})