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Beliebt Rechnen >

y^'-4/x y=(y^3)/(x^3),y(1)=1

Lösung

y^{^{'}} - \frac{4}{x} y = \frac{y ^{3}}{x ^{3}}, y (1) = 1

Lösung

y = \frac{3 x ^{4}}{- x ^{6} + 4}

Schritte zur Lösung

y^{'} (x) - \frac{4}{x} y = \frac{y ^{3}}{x ^{3}}

Solve Bernoulli ODE:

y = \frac{3 x ^{4}}{- x ^{6} + 4}

y = \frac{3 x ^{4}}{- x ^{6} + 4}

Graph

Beliebte Beispiele

derivative of 7/10 x^2+4x^3

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

(dy)/(dx)-y=-x/2

\frac{d y}{d x} - y = - \frac{x}{2}

limit as x approaches 0 of 1-1/(x^2)

x \to 0 lim (1 - \frac{1}{x ^{2}})

limit as x approaches 3 of ((x^2-2x-3))/(x^2-9)

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

y^'(x^2+2)+4x(y^2+2y+1)=0

y^{^{'}} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0