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Beliebt Rechnen >

y^'= y/(x^2-4)

Lösung

y^{^{'}} = \frac{y}{x ^{2} - 4}

Lösung

y = e^{- \frac{1}{4} (l n (\frac{x}{2} + 1) - l n (\frac{x}{2} - 1)) + c_{1}}

Schritte zur Lösung

y^{'} (x) = \frac{y}{x ^{2} - 4}

Solve separable ODE:

y = e^{- \frac{1}{4} (l n (\frac{x}{2} + 1) - l n (\frac{x}{2} - 1)) + c_{1}}

y = e^{- \frac{1}{4} (l n (\frac{x}{2} + 1) - l n (\frac{x}{2} - 1)) + c_{1}}

Graph

Beliebte Beispiele

dyy^{-2}=(dx)/(sqrt(-x^2+144))

d y y^{- 2} = \frac{d x}{- x ^{2} + 144}

y = y^{^{'}} x

(dy)/(dx)=x^5(y-5),y(0)=8

\frac{d y}{d x} = x^{5} (y - 5), y (0) = 8

(1-x^2)y^'-y^2=0

(1 - x^{2}) y^{^{'}} - y^{2} = 0

(xdx)/(1+x^2)+(ydy)/(1+y^2)=0

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