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Beliebt Rechnen >

(x^2+1)*(dy)/(dx)+6x(y-1)=0,y(0)=3

Lösung

(x^{2} + 1) \cdot \frac{d y}{d x} + 6 x (y - 1) = 0, y (0) = 3

Lösung

y = \frac{2}{( x ^{2} + 1 ) ^{3}} + 1

Schritte zur Lösung

(x^{2} + 1) \cdot \frac{d y}{d x} + 6 x (y - 1) = 0

Solve separable ODE:

y = \frac{2}{( x ^{2} + 1 ) ^{3}} + 1

y = \frac{2}{( x ^{2} + 1 ) ^{3}} + 1

Graph

Beliebte Beispiele

(dy)/(dt)= 1/(2y+1)

\frac{d y}{d t} = \frac{1}{2 y + 1}

tangent f(x)= x/(x+1),\at x=1

t an g e n t f (x) = \frac{x}{x + 1}, at x = 1

derivative (x^2-x)*e^{-x}

d er i v a t i v e (x^{2} - x) \cdot e^{- x}

integral of (2x+4)/(x^3-2x^2)

\int \frac{2 x + 4}{x ^{3} - 2 x ^{2}} d x

integral of picos(nx)

\int π cos (n x) d x