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Beliebt Rechnen >

(dy)/(dx)=((x-8))/(64y-384)

Lösung

\frac{d y}{d x} = \frac{( x - 8 )}{64 y - 384}

Lösung

y = \frac{48 + x ^{2} - 16 x + c _{1} + 2304}{8}, y = \frac{48 - x ^{2} - 16 x + c _{1} + 2304}{8}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( x - 8 )}{64 y - 384}

Solve separable ODE:

y = \frac{48 + x ^{2} - 16 x + c _{1} + 2304}{8}, y = \frac{48 - x ^{2} - 16 x + c _{1} + 2304}{8}

y = \frac{48 + x ^{2} - 16 x + c _{1} + 2304}{8}, y = \frac{48 - x ^{2} - 16 x + c _{1} + 2304}{8}

Graph

Beliebte Beispiele

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

(dy)/(dx)y=sqrt(u),u=x^2+10

\frac{d y}{d x} y = u, u = x^{2} + 10

y^{^{'}} + 5 y + 4 y = 0

(dy)/(dx)+y/(50)=4,y(0)=30

\frac{d y}{d x} + \frac{y}{50} = 4, y (0) = 30

(dV)/(dt)=80-8/100 V

\frac{d V}{d t} = 80 - \frac{8}{100} V