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Beliebt Rechnen >

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

Lösung

\frac{d x}{d y} = \frac{1 + x ^{2}}{1 - y ^{2}}

Lösung

x = tan (\frac{ln ( y + 1 ) - ln ( y - 1 )}{2} + c_{1})

Schritte zur Lösung

\frac{d x}{d y} = \frac{1 + x ^{2}}{1 - y ^{2}}

Solve separable ODE:

x = tan (\frac{ln ( y + 1 ) - ln ( y - 1 )}{2} + c_{1})

x = tan (\frac{ln ( y + 1 ) - ln ( y - 1 )}{2} + c_{1})

Beliebte Beispiele

u^'+n^2\H(t)=-((-1)^n+1)/(pi(n^2-1))

u^{^{'}} + n^{2} H (t) = - \frac{( - 1 ) ^{n} + 1}{π ( n ^{2} - 1 )}

y^'-sin(x)*y=3sin(x)

y^{^{'}} - sin (x) \cdot y = 3 sin (x)

y^2y^'=(1+y^3)cos(x)

y^{2} y^{^{'}} = (1 + y^{3}) cos (x)

(dy)/(dt)=y(y-1)

\frac{d y}{d t} = y (y - 1)

(xy+y^2)dx-(x^2+xy)dy=0

(x y + y^{2}) d x - (x^{2} + x y) d y = 0