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Beliebt Rechnen >

y^'=(x^2+1)/(3y^2)

Lösung

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

Lösung

y = 3 \frac{x ^{3}}{3} + x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 \frac{x ^{3}}{3} + x + c_{1}

y = 3 \frac{x ^{3}}{3} + x + c_{1}

Graph

Beliebte Beispiele

integral of 1/(x^2-7)

\int \frac{1}{x ^{2} - 7} d x

-4y^{''}+16y=0,y(1)=2,y^'(2)=1

- 4 y^{^{''}} + 16 y = 0, y (1) = 2, y^{^{'}} (2) = 1

derivative y=x^3(x-1)^2

d er i v a t i v e y = x^{3} (x - 1)^{2}

derivative f(x)=6sin^3(sqrt(x))

d er i v a t i v e f (x) = 6 sin^{3} (x)

integral of 8x^2+6+9/(x^2+1)

\int 8 x^{2} + 6 + \frac{9}{x ^{2} + 1} d x