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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{c _{1} - x ^{4}}{2}, y = - \frac{c _{1} - x ^{4}}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1} - x ^{4}}{2}, y = - \frac{c _{1} - x ^{4}}{2}

y = \frac{c _{1} - x ^{4}}{2}, y = - \frac{c _{1} - x ^{4}}{2}

Graph

Beliebte Beispiele

(df)/(dx)+f(x)^2=0

\frac{df}{d x} + f (x)^{2} = 0

(dy)/(dx)=(yln(y))/(cot(x))

\frac{d y}{d x} = \frac{y ln ( y )}{cot ( x )}

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

y (4 + x^{2}) d y - x (2 + y^{2}) d x = 0

(dy)/(dx)xln(x)-y=0,y(2)=ln(4)

\frac{d y}{d x} x ln (x) - y = 0, y (2) = ln (4)

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