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Beliebt Rechnen >

(x^2+1)((dy)/(dx))+8x(y-1)=0,y(0)=5

Lösung

(x^{2} + 1) (\frac{d y}{d x}) + 8 x (y - 1) = 0, y (0) = 5

Lösung

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

Schritte zur Lösung

(x^{2} + 1) (\frac{d y}{d x}) + 8 x (y - 1) = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

6 x + \frac{d y}{d x} = 0

derivative of 1/({f(x)})

\frac{d}{d x} (\frac{1}{f ( x )})

integral from 1 to-1 of (x-1)(3x+2)

\int_{1}^{- 1} (x - 1) (3 x + 2) d x

integral from 10 to 13 of 2x

\int_{10}^{13} 2 x d x

derivative y=4x-3x^2

d er i v a t i v e y = 4 x - 3 x^{2}