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Beliebt Rechnen >

y(dy)/(dx)=5x(y^2+1)^6,y(8)=2

Lösung

y \frac{d y}{d x} = 5 x (y^{2} + 1)^{6}, y (8) = 2

Lösung

y = - \frac{5}{5 78125 x ^{2} - 5000001} - 1

Schritte zur Lösung

y \frac{d y}{d x} = 5 x (y^{2} + 1)^{6}

Solve separable ODE:

y = - \frac{5}{5 78125 x ^{2} - 5000001} - 1

y = - \frac{5}{5 78125 x ^{2} - 5000001} - 1

Graph

Beliebte Beispiele

(dy)/(dx)=(4y^{3/4})/(x^2+1)

\frac{d y}{d x} = \frac{4 y ^{\frac{3}{4}}}{x ^{2} + 1}

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

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

x d x - 4 y d y = 0

sin(x)dx+1/y dy=0

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xdy+ydx=x^4ydy+x^3y^2dx

x d y + y d x = x^{4} y d y + x^{3} y^{2} d x