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Beliebt Rechnen >

y^'=(x(x^2+1))/((4y^2))

Lösung

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

Lösung

y = \frac{3 3 x ^{4} + 6 x ^{2} + c _{1}}{2 3 2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{3 3 x ^{4} + 6 x ^{2} + c _{1}}{2 3 2}

y = \frac{3 3 x ^{4} + 6 x ^{2} + c _{1}}{2 3 2}

Graph

Beliebte Beispiele

y^'=(x^2)/(y^2),y(1)=1

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

(dx)/(dt)=(100-x)/(10)

\frac{d x}{d t} = \frac{100 - x}{10}

((df)/(dy))f(y)=e^{-y}

(\frac{df}{d y}) f (y) = e^{- y}

4y^3(dy)/(dx)-5x^2+3x=0

4 y^{3} \frac{d y}{d x} - 5 x^{2} + 3 x = 0

yln(x)(dx}{dy}=(\frac{y+1)/x)

y ln (x) \frac{d x}{d y} = (\frac{y + 1}{x})