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Beliebt Rechnen >

((x^2-9))/x (dy)/(dx)+y=0

Lösung

\frac{( x ^{2} - 9 )}{x} \frac{d y}{d x} + y = 0

Lösung

y = \frac{c _{1}}{x ^{2} - 9}

Schritte zur Lösung

\frac{( x ^{2} - 9 )}{x} \frac{d y}{d x} + y = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} - 9}

y = \frac{c _{1}}{x ^{2} - 9}

Graph

Beliebte Beispiele

sqrt(x)(dy)/(dx)=e^{5y+sqrt(x)}

x \frac{d y}{d x} = e^{5 y + x}

y^'=(x+xy^2)/(4y),y(1)=0

y^{^{'}} = \frac{x + x y ^{2}}{4 y}, y (1) = 0

y^{^{'}} - 9 x^{2} y + y = 0

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

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

y^'=(y^3)/(x^2)

y^{^{'}} = \frac{y ^{3}}{x ^{2}}