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Beliebt Rechnen >

(x^2+1)y^'+8x(y-1)=0

Lösung

(x^{2} + 1) y^{^{'}} + 8 x (y - 1) = 0

Lösung

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

Schritte zur Lösung

(x^{2} + 1) y^{'} (x) + 8 x (y - 1) = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

Graph

Beliebte Beispiele

derivative x^4-8x^3

d er i v a t i v e x^{4} - 8 x^{3}

(\partial)/(\partial x)(3/(3x+2y))

\frac{\partial}{\partial x} (\frac{3}{3 x + 2 y})

(dy)/(dx)=(xy+x^2+y^2)/(x^2)

\frac{d y}{d x} = \frac{x y + x ^{2} + y ^{2}}{x ^{2}}

derivative of 3x^3-4

\frac{d}{d x} (3 x^{3} - 4)

y^{^{''}} + 11 y = 0