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Beliebt Rechnen >

10x-8ysqrt(x^2+1)y^'=0

Lösung

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

Lösung

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

Graph

Beliebte Beispiele

limit as x approaches 6 of 6(10)(-5)

x \to 6 lim (6 (10) (- 5))

tangent y=0.0006x^{0.837}

t an g e n t y = 0.0006 x^{0.837}

integral of 1/2 sec(x)tan(x)

\int \frac{1}{2} sec (x) tan (x) d x

derivative f(x)=(100)/x

d er i v a t i v e f (x) = \frac{100}{x}

(dv)/(dt)+k/5 v+9.8=0

\frac{d v}{d t} + \frac{k}{5} v + 9.8 = 0