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Beliebt Rechnen >

x^2(dy)/(dx)+8x(dy)/(dx)+6y=0

Lösung

x^{2} \frac{d y}{d x} + 8 x \frac{d y}{d x} + 6 y = 0

Lösung

y = e^{- 6 (\frac{1}{8} l n (x) - \frac{1}{8} l n (x + 8)) + c_{1}}

Schritte zur Lösung

x^{2} \frac{d y}{d x} + 8 x \frac{d y}{d x} + 6 y = 0

Solve separable ODE:

y = e^{- 6 (\frac{1}{8} l n (x) - \frac{1}{8} l n (x + 8)) + c_{1}}

y = e^{- 6 (\frac{1}{8} l n (x) - \frac{1}{8} l n (x + 8)) + c_{1}}

Graph

Beliebte Beispiele

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

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

x^{^{'}} = - 5 x

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

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

(dy)/(dx)=5xsec(y)

\frac{d y}{d x} = 5 x sec (y)

3x(y^2+1)dx+y(x^2+1)dy=0

3 x (y^{2} + 1) d x + y (x^{2} + 1) d y = 0